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Finding the Third Proportional to 180,283.50 and 261,123.75

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Solution

The third proportional to 180,283.50 and 261,123.75 is: 378,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,283.50 : 261,123.75 = 261,123.75 : x
  2. Step 2: Convert to fraction form
    180,283.50/261,123.75 = 261,123.75/x
  3. Step 3: Cross multiply
    180,283.50x = 261,123.75 × 261,123.75
  4. Step 4: Simplify right side
    180,283.50x = 68,185,612,814.06
  5. Step 5: Solve for x
    x = 68,185,612,814.06/180,283.50
  6. Step 6: Final answer
    x = 378,213.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.