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Finding the Third Proportional to 181,612.13 and 386,871.19

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Solution

The third proportional to 181,612.13 and 386,871.19 is: 824,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,612.13 : 386,871.19 = 386,871.19 : x
  2. Step 2: Convert to fraction form
    181,612.13/386,871.19 = 386,871.19/x
  3. Step 3: Cross multiply
    181,612.13x = 386,871.19 × 386,871.19
  4. Step 4: Simplify right side
    181,612.13x = 149,669,315,717.66
  5. Step 5: Solve for x
    x = 149,669,315,717.66/181,612.13
  6. Step 6: Final answer
    x = 824,115.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.