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Finding the Third Proportional to 160,561 and 352,901

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Solution

The third proportional to 160,561 and 352,901 is: 775,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,561 : 352,901 = 352,901 : x
  2. Step 2: Convert to fraction form
    160,561/352,901 = 352,901/x
  3. Step 3: Cross multiply
    160,561x = 352,901 × 352,901
  4. Step 4: Simplify right side
    160,561x = 124,539,115,801
  5. Step 5: Solve for x
    x = 124,539,115,801/160,561
  6. Step 6: Final answer
    x = 775,649.85

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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.