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Finding the Third Proportional to 117,584.50 and 176,644.50

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Solution

The third proportional to 117,584.50 and 176,644.50 is: 265,368.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,584.50 : 176,644.50 = 176,644.50 : x
  2. Step 2: Convert to fraction form
    117,584.50/176,644.50 = 176,644.50/x
  3. Step 3: Cross multiply
    117,584.50x = 176,644.50 × 176,644.50
  4. Step 4: Simplify right side
    117,584.50x = 31,203,279,380.25
  5. Step 5: Solve for x
    x = 31,203,279,380.25/117,584.50
  6. Step 6: Final answer
    x = 265,368.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.