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Finding the Third Proportional to 161,001 and 353,718

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Solution

The third proportional to 161,001 and 353,718 is: 777,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,001 : 353,718 = 353,718 : x
  2. Step 2: Convert to fraction form
    161,001/353,718 = 353,718/x
  3. Step 3: Cross multiply
    161,001x = 353,718 × 353,718
  4. Step 4: Simplify right side
    161,001x = 125,116,423,524
  5. Step 5: Solve for x
    x = 125,116,423,524/161,001
  6. Step 6: Final answer
    x = 777,115.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.