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Finding the Third Proportional to 158,446 and 230,535

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Solution

The third proportional to 158,446 and 230,535 is: 335,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,446 : 230,535 = 230,535 : x
  2. Step 2: Convert to fraction form
    158,446/230,535 = 230,535/x
  3. Step 3: Cross multiply
    158,446x = 230,535 × 230,535
  4. Step 4: Simplify right side
    158,446x = 53,146,386,225
  5. Step 5: Solve for x
    x = 53,146,386,225/158,446
  6. Step 6: Final answer
    x = 335,422.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.