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Finding the Third Proportional to 181,812 and 372,438

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Solution

The third proportional to 181,812 and 372,438 is: 762,931.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,812 : 372,438 = 372,438 : x
  2. Step 2: Convert to fraction form
    181,812/372,438 = 372,438/x
  3. Step 3: Cross multiply
    181,812x = 372,438 × 372,438
  4. Step 4: Simplify right side
    181,812x = 138,710,063,844
  5. Step 5: Solve for x
    x = 138,710,063,844/181,812
  6. Step 6: Final answer
    x = 762,931.29

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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.