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Finding the Third Proportional to 80,484 and 176,994

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Solution

The third proportional to 80,484 and 176,994 is: 389,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,484 : 176,994 = 176,994 : x
  2. Step 2: Convert to fraction form
    80,484/176,994 = 176,994/x
  3. Step 3: Cross multiply
    80,484x = 176,994 × 176,994
  4. Step 4: Simplify right side
    80,484x = 31,326,876,036
  5. Step 5: Solve for x
    x = 31,326,876,036/80,484
  6. Step 6: Final answer
    x = 389,231.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.