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Finding the Third Proportional to 134,731.50 and 224,561.25

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Solution

The third proportional to 134,731.50 and 224,561.25 is: 374,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,731.50 : 224,561.25 = 224,561.25 : x
  2. Step 2: Convert to fraction form
    134,731.50/224,561.25 = 224,561.25/x
  3. Step 3: Cross multiply
    134,731.50x = 224,561.25 × 224,561.25
  4. Step 4: Simplify right side
    134,731.50x = 50,427,755,001.56
  5. Step 5: Solve for x
    x = 50,427,755,001.56/134,731.50
  6. Step 6: Final answer
    x = 374,283.33

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.