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Finding the Third Proportional to 129,735 and 284,062.50

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Solution

The third proportional to 129,735 and 284,062.50 is: 621,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,735 : 284,062.50 = 284,062.50 : x
  2. Step 2: Convert to fraction form
    129,735/284,062.50 = 284,062.50/x
  3. Step 3: Cross multiply
    129,735x = 284,062.50 × 284,062.50
  4. Step 4: Simplify right side
    129,735x = 80,691,503,906.25
  5. Step 5: Solve for x
    x = 80,691,503,906.25/129,735
  6. Step 6: Final answer
    x = 621,971.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.