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Finding the Third Proportional to 249,878.25 and 402,414.75

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Solution

The third proportional to 249,878.25 and 402,414.75 is: 648,066.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,878.25 : 402,414.75 = 402,414.75 : x
  2. Step 2: Convert to fraction form
    249,878.25/402,414.75 = 402,414.75/x
  3. Step 3: Cross multiply
    249,878.25x = 402,414.75 × 402,414.75
  4. Step 4: Simplify right side
    249,878.25x = 161,937,631,017.56
  5. Step 5: Solve for x
    x = 161,937,631,017.56/249,878.25
  6. Step 6: Final answer
    x = 648,066.13

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.