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Finding the Third Proportional to 158,438 and 230,523

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Solution

The third proportional to 158,438 and 230,523 is: 335,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,438 : 230,523 = 230,523 : x
  2. Step 2: Convert to fraction form
    158,438/230,523 = 230,523/x
  3. Step 3: Cross multiply
    158,438x = 230,523 × 230,523
  4. Step 4: Simplify right side
    158,438x = 53,140,853,529
  5. Step 5: Solve for x
    x = 53,140,853,529/158,438
  6. Step 6: Final answer
    x = 335,404.72

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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.