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Finding the Third Proportional to 180,283.50 and 261,130.50

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Solution

The third proportional to 180,283.50 and 261,130.50 is: 378,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,283.50 : 261,130.50 = 261,130.50 : x
  2. Step 2: Convert to fraction form
    180,283.50/261,130.50 = 261,130.50/x
  3. Step 3: Cross multiply
    180,283.50x = 261,130.50 × 261,130.50
  4. Step 4: Simplify right side
    180,283.50x = 68,189,138,030.25
  5. Step 5: Solve for x
    x = 68,189,138,030.25/180,283.50
  6. Step 6: Final answer
    x = 378,232.83

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