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Finding the Third Proportional to 134,745 and 224,560.50

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Solution

The third proportional to 134,745 and 224,560.50 is: 374,243.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,745 : 224,560.50 = 224,560.50 : x
  2. Step 2: Convert to fraction form
    134,745/224,560.50 = 224,560.50/x
  3. Step 3: Cross multiply
    134,745x = 224,560.50 × 224,560.50
  4. Step 4: Simplify right side
    134,745x = 50,427,418,160.25
  5. Step 5: Solve for x
    x = 50,427,418,160.25/134,745
  6. Step 6: Final answer
    x = 374,243.33

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Why These Related Problems?

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