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Finding the Third Proportional to 249,351.75 and 534,151.13

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Solution

The third proportional to 249,351.75 and 534,151.13 is: 1,144,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,351.75 : 534,151.13 = 534,151.13 : x
  2. Step 2: Convert to fraction form
    249,351.75/534,151.13 = 534,151.13/x
  3. Step 3: Cross multiply
    249,351.75x = 534,151.13 × 534,151.13
  4. Step 4: Simplify right side
    249,351.75x = 285,317,424,338.77
  5. Step 5: Solve for x
    x = 285,317,424,338.77/249,351.75
  6. Step 6: Final answer
    x = 1,144,236.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.