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Finding the Third Proportional to 169,720 and 353,384

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Solution

The third proportional to 169,720 and 353,384 is: 735,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,720 : 353,384 = 353,384 : x
  2. Step 2: Convert to fraction form
    169,720/353,384 = 353,384/x
  3. Step 3: Cross multiply
    169,720x = 353,384 × 353,384
  4. Step 4: Simplify right side
    169,720x = 124,880,251,456
  5. Step 5: Solve for x
    x = 124,880,251,456/169,720
  6. Step 6: Final answer
    x = 735,801.62

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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.