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Finding the Third Proportional to 249,795 and 338,605

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Solution

The third proportional to 249,795 and 338,605 is: 458,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,795 : 338,605 = 338,605 : x
  2. Step 2: Convert to fraction form
    249,795/338,605 = 338,605/x
  3. Step 3: Cross multiply
    249,795x = 338,605 × 338,605
  4. Step 4: Simplify right side
    249,795x = 114,653,346,025
  5. Step 5: Solve for x
    x = 114,653,346,025/249,795
  6. Step 6: Final answer
    x = 458,989.76

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