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Finding the Third Proportional to 182,376 and 272,834

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Solution

The third proportional to 182,376 and 272,834 is: 408,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,376 : 272,834 = 272,834 : x
  2. Step 2: Convert to fraction form
    182,376/272,834 = 272,834/x
  3. Step 3: Cross multiply
    182,376x = 272,834 × 272,834
  4. Step 4: Simplify right side
    182,376x = 74,438,391,556
  5. Step 5: Solve for x
    x = 74,438,391,556/182,376
  6. Step 6: Final answer
    x = 408,158.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.