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Finding the Third Proportional to 161,110 and 345,548

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Solution

The third proportional to 161,110 and 345,548 is: 741,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,110 : 345,548 = 345,548 : x
  2. Step 2: Convert to fraction form
    161,110/345,548 = 345,548/x
  3. Step 3: Cross multiply
    161,110x = 345,548 × 345,548
  4. Step 4: Simplify right side
    161,110x = 119,403,420,304
  5. Step 5: Solve for x
    x = 119,403,420,304/161,110
  6. Step 6: Final answer
    x = 741,129.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.