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Finding the Third Proportional to 249,790 and 338,599

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Solution

The third proportional to 249,790 and 338,599 is: 458,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,790 : 338,599 = 338,599 : x
  2. Step 2: Convert to fraction form
    249,790/338,599 = 338,599/x
  3. Step 3: Cross multiply
    249,790x = 338,599 × 338,599
  4. Step 4: Simplify right side
    249,790x = 114,649,282,801
  5. Step 5: Solve for x
    x = 114,649,282,801/249,790
  6. Step 6: Final answer
    x = 458,982.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.