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Finding the Third Proportional to 107,338.50 and 249,517.13

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Solution

The third proportional to 107,338.50 and 249,517.13 is: 580,022.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,338.50 : 249,517.13 = 249,517.13 : x
  2. Step 2: Convert to fraction form
    107,338.50/249,517.13 = 249,517.13/x
  3. Step 3: Cross multiply
    107,338.50x = 249,517.13 × 249,517.13
  4. Step 4: Simplify right side
    107,338.50x = 62,258,795,668.27
  5. Step 5: Solve for x
    x = 62,258,795,668.27/107,338.50
  6. Step 6: Final answer
    x = 580,022.97

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.