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Finding the Third Proportional to 181,034 and 386,106

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Solution

The third proportional to 181,034 and 386,106 is: 823,479.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,034 : 386,106 = 386,106 : x
  2. Step 2: Convert to fraction form
    181,034/386,106 = 386,106/x
  3. Step 3: Cross multiply
    181,034x = 386,106 × 386,106
  4. Step 4: Simplify right side
    181,034x = 149,077,843,236
  5. Step 5: Solve for x
    x = 149,077,843,236/181,034
  6. Step 6: Final answer
    x = 823,479.81

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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.