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Finding the Third Proportional to 160,901 and 346,721

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Solution

The third proportional to 160,901 and 346,721 is: 747,139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,901 : 346,721 = 346,721 : x
  2. Step 2: Convert to fraction form
    160,901/346,721 = 346,721/x
  3. Step 3: Cross multiply
    160,901x = 346,721 × 346,721
  4. Step 4: Simplify right side
    160,901x = 120,215,451,841
  5. Step 5: Solve for x
    x = 120,215,451,841/160,901
  6. Step 6: Final answer
    x = 747,139.25

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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.