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Finding the Third Proportional to 169,749 and 353,439

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Solution

The third proportional to 169,749 and 353,439 is: 735,904.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,749 : 353,439 = 353,439 : x
  2. Step 2: Convert to fraction form
    169,749/353,439 = 353,439/x
  3. Step 3: Cross multiply
    169,749x = 353,439 × 353,439
  4. Step 4: Simplify right side
    169,749x = 124,919,126,721
  5. Step 5: Solve for x
    x = 124,919,126,721/169,749
  6. Step 6: Final answer
    x = 735,904.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.