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Finding the Third Proportional to 174,564 and 266,919

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Solution

The third proportional to 174,564 and 266,919 is: 408,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,564 : 266,919 = 266,919 : x
  2. Step 2: Convert to fraction form
    174,564/266,919 = 266,919/x
  3. Step 3: Cross multiply
    174,564x = 266,919 × 266,919
  4. Step 4: Simplify right side
    174,564x = 71,245,752,561
  5. Step 5: Solve for x
    x = 71,245,752,561/174,564
  6. Step 6: Final answer
    x = 408,135.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.