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Finding the Third Proportional to 181,581 and 385,008

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Solution

The third proportional to 181,581 and 385,008 is: 816,336.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,581 : 385,008 = 385,008 : x
  2. Step 2: Convert to fraction form
    181,581/385,008 = 385,008/x
  3. Step 3: Cross multiply
    181,581x = 385,008 × 385,008
  4. Step 4: Simplify right side
    181,581x = 148,231,160,064
  5. Step 5: Solve for x
    x = 148,231,160,064/181,581
  6. Step 6: Final answer
    x = 816,336.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.