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Finding the Third Proportional to 177,552 and 249,738.75

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Solution

The third proportional to 177,552 and 249,738.75 is: 351,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,552 : 249,738.75 = 249,738.75 : x
  2. Step 2: Convert to fraction form
    177,552/249,738.75 = 249,738.75/x
  3. Step 3: Cross multiply
    177,552x = 249,738.75 × 249,738.75
  4. Step 4: Simplify right side
    177,552x = 62,369,443,251.56
  5. Step 5: Solve for x
    x = 62,369,443,251.56/177,552
  6. Step 6: Final answer
    x = 351,274.24

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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.