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Finding the Third Proportional to 176,286 and 387,564

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Solution

The third proportional to 176,286 and 387,564 is: 852,057.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,286 : 387,564 = 387,564 : x
  2. Step 2: Convert to fraction form
    176,286/387,564 = 387,564/x
  3. Step 3: Cross multiply
    176,286x = 387,564 × 387,564
  4. Step 4: Simplify right side
    176,286x = 150,205,854,096
  5. Step 5: Solve for x
    x = 150,205,854,096/176,286
  6. Step 6: Final answer
    x = 852,057.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.