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Finding the Third Proportional to 181,788 and 389,496

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Solution

The third proportional to 181,788 and 389,496 is: 834,527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,788 : 389,496 = 389,496 : x
  2. Step 2: Convert to fraction form
    181,788/389,496 = 389,496/x
  3. Step 3: Cross multiply
    181,788x = 389,496 × 389,496
  4. Step 4: Simplify right side
    181,788x = 151,707,134,016
  5. Step 5: Solve for x
    x = 151,707,134,016/181,788
  6. Step 6: Final answer
    x = 834,527.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.