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Finding the Third Proportional to 161,738 and 237,327

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Solution

The third proportional to 161,738 and 237,327 is: 348,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,738 : 237,327 = 237,327 : x
  2. Step 2: Convert to fraction form
    161,738/237,327 = 237,327/x
  3. Step 3: Cross multiply
    161,738x = 237,327 × 237,327
  4. Step 4: Simplify right side
    161,738x = 56,324,104,929
  5. Step 5: Solve for x
    x = 56,324,104,929/161,738
  6. Step 6: Final answer
    x = 348,242.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.