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Finding the Third Proportional to 88,884 and 181,344

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Solution

The third proportional to 88,884 and 181,344 is: 369,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,884 : 181,344 = 181,344 : x
  2. Step 2: Convert to fraction form
    88,884/181,344 = 181,344/x
  3. Step 3: Cross multiply
    88,884x = 181,344 × 181,344
  4. Step 4: Simplify right side
    88,884x = 32,885,646,336
  5. Step 5: Solve for x
    x = 32,885,646,336/88,884
  6. Step 6: Final answer
    x = 369,983.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.