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Finding the Third Proportional to 177,518 and 249,691

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Solution

The third proportional to 177,518 and 249,691 is: 351,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,518 : 249,691 = 249,691 : x
  2. Step 2: Convert to fraction form
    177,518/249,691 = 249,691/x
  3. Step 3: Cross multiply
    177,518x = 249,691 × 249,691
  4. Step 4: Simplify right side
    177,518x = 62,345,595,481
  5. Step 5: Solve for x
    x = 62,345,595,481/177,518
  6. Step 6: Final answer
    x = 351,207.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.