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Finding the Third Proportional to 116,446 and 249,493

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Solution

The third proportional to 116,446 and 249,493 is: 534,554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,446 : 249,493 = 249,493 : x
  2. Step 2: Convert to fraction form
    116,446/249,493 = 249,493/x
  3. Step 3: Cross multiply
    116,446x = 249,493 × 249,493
  4. Step 4: Simplify right side
    116,446x = 62,246,757,049
  5. Step 5: Solve for x
    x = 62,246,757,049/116,446
  6. Step 6: Final answer
    x = 534,554.70

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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.