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Finding the Third Proportional to 159,901 and 344,002

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Solution

The third proportional to 159,901 and 344,002 is: 740,066.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,901 : 344,002 = 344,002 : x
  2. Step 2: Convert to fraction form
    159,901/344,002 = 344,002/x
  3. Step 3: Cross multiply
    159,901x = 344,002 × 344,002
  4. Step 4: Simplify right side
    159,901x = 118,337,376,004
  5. Step 5: Solve for x
    x = 118,337,376,004/159,901
  6. Step 6: Final answer
    x = 740,066.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.