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Finding the Third Proportional to 129,377.25 and 282,798

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Solution

The third proportional to 129,377.25 and 282,798 is: 618,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,377.25 : 282,798 = 282,798 : x
  2. Step 2: Convert to fraction form
    129,377.25/282,798 = 282,798/x
  3. Step 3: Cross multiply
    129,377.25x = 282,798 × 282,798
  4. Step 4: Simplify right side
    129,377.25x = 79,974,708,804
  5. Step 5: Solve for x
    x = 79,974,708,804/129,377.25
  6. Step 6: Final answer
    x = 618,151.25

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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.