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Finding the Third Proportional to 181,758 and 372,582

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Solution

The third proportional to 181,758 and 372,582 is: 763,748.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,758 : 372,582 = 372,582 : x
  2. Step 2: Convert to fraction form
    181,758/372,582 = 372,582/x
  3. Step 3: Cross multiply
    181,758x = 372,582 × 372,582
  4. Step 4: Simplify right side
    181,758x = 138,817,346,724
  5. Step 5: Solve for x
    x = 138,817,346,724/181,758
  6. Step 6: Final answer
    x = 763,748.21

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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.