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Finding the Third Proportional to 156,571 and 349,001

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Solution

The third proportional to 156,571 and 349,001 is: 777,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,571 : 349,001 = 349,001 : x
  2. Step 2: Convert to fraction form
    156,571/349,001 = 349,001/x
  3. Step 3: Cross multiply
    156,571x = 349,001 × 349,001
  4. Step 4: Simplify right side
    156,571x = 121,801,698,001
  5. Step 5: Solve for x
    x = 121,801,698,001/156,571
  6. Step 6: Final answer
    x = 777,932.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.