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Finding the Third Proportional to 161,786 and 237,387

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Solution

The third proportional to 161,786 and 237,387 is: 348,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,786 : 237,387 = 237,387 : x
  2. Step 2: Convert to fraction form
    161,786/237,387 = 237,387/x
  3. Step 3: Cross multiply
    161,786x = 237,387 × 237,387
  4. Step 4: Simplify right side
    161,786x = 56,352,587,769
  5. Step 5: Solve for x
    x = 56,352,587,769/161,786
  6. Step 6: Final answer
    x = 348,315.60

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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.