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Finding the Third Proportional to 177,524 and 249,701

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Solution

The third proportional to 177,524 and 249,701 is: 351,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,524 : 249,701 = 249,701 : x
  2. Step 2: Convert to fraction form
    177,524/249,701 = 249,701/x
  3. Step 3: Cross multiply
    177,524x = 249,701 × 249,701
  4. Step 4: Simplify right side
    177,524x = 62,350,589,401
  5. Step 5: Solve for x
    x = 62,350,589,401/177,524
  6. Step 6: Final answer
    x = 351,223.44

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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.