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Finding the Third Proportional to 171,856 and 377,566

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Solution

The third proportional to 171,856 and 377,566 is: 829,508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,856 : 377,566 = 377,566 : x
  2. Step 2: Convert to fraction form
    171,856/377,566 = 377,566/x
  3. Step 3: Cross multiply
    171,856x = 377,566 × 377,566
  4. Step 4: Simplify right side
    171,856x = 142,556,084,356
  5. Step 5: Solve for x
    x = 142,556,084,356/171,856
  6. Step 6: Final answer
    x = 829,508.92

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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.