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Finding the Third Proportional to 249,672.38 and 353,278.97

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Solution

The third proportional to 249,672.38 and 353,278.97 is: 499,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,672.38 : 353,278.97 = 353,278.97 : x
  2. Step 2: Convert to fraction form
    249,672.38/353,278.97 = 353,278.97/x
  3. Step 3: Cross multiply
    249,672.38x = 353,278.97 × 353,278.97
  4. Step 4: Simplify right side
    249,672.38x = 124,806,029,761.06
  5. Step 5: Solve for x
    x = 124,806,029,761.06/249,672.38
  6. Step 6: Final answer
    x = 499,879.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.