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Finding the Third Proportional to 116,498.81 and 249,589.13

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Solution

The third proportional to 116,498.81 and 249,589.13 is: 534,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,498.81 : 249,589.13 = 249,589.13 : x
  2. Step 2: Convert to fraction form
    116,498.81/249,589.13 = 249,589.13/x
  3. Step 3: Cross multiply
    116,498.81x = 249,589.13 × 249,589.13
  4. Step 4: Simplify right side
    116,498.81x = 62,294,731,318.27
  5. Step 5: Solve for x
    x = 62,294,731,318.27/116,498.81
  6. Step 6: Final answer
    x = 534,724.17

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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.