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Finding the Third Proportional to 162,916 and 238,542

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Solution

The third proportional to 162,916 and 238,542 is: 349,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,916 : 238,542 = 238,542 : x
  2. Step 2: Convert to fraction form
    162,916/238,542 = 238,542/x
  3. Step 3: Cross multiply
    162,916x = 238,542 × 238,542
  4. Step 4: Simplify right side
    162,916x = 56,902,285,764
  5. Step 5: Solve for x
    x = 56,902,285,764/162,916
  6. Step 6: Final answer
    x = 349,273.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.