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Finding the Third Proportional to 249,864.75 and 374,387.06

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Solution

The third proportional to 249,864.75 and 374,387.06 is: 560,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,864.75 : 374,387.06 = 374,387.06 : x
  2. Step 2: Convert to fraction form
    249,864.75/374,387.06 = 374,387.06/x
  3. Step 3: Cross multiply
    249,864.75x = 374,387.06 × 374,387.06
  4. Step 4: Simplify right side
    249,864.75x = 140,165,672,567.38
  5. Step 5: Solve for x
    x = 140,165,672,567.38/249,864.75
  6. Step 6: Final answer
    x = 560,966.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.