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Finding the Third Proportional to 181,888 and 372,523

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Solution

The third proportional to 181,888 and 372,523 is: 762,960.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,888 : 372,523 = 372,523 : x
  2. Step 2: Convert to fraction form
    181,888/372,523 = 372,523/x
  3. Step 3: Cross multiply
    181,888x = 372,523 × 372,523
  4. Step 4: Simplify right side
    181,888x = 138,773,385,529
  5. Step 5: Solve for x
    x = 138,773,385,529/181,888
  6. Step 6: Final answer
    x = 762,960.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.