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Finding the Third Proportional to 160,782 and 349,234

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Solution

The third proportional to 160,782 and 349,234 is: 758,569.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,782 : 349,234 = 349,234 : x
  2. Step 2: Convert to fraction form
    160,782/349,234 = 349,234/x
  3. Step 3: Cross multiply
    160,782x = 349,234 × 349,234
  4. Step 4: Simplify right side
    160,782x = 121,964,386,756
  5. Step 5: Solve for x
    x = 121,964,386,756/160,782
  6. Step 6: Final answer
    x = 758,569.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.