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Finding the Third Proportional to 84,494 and 181,466

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Solution

The third proportional to 84,494 and 181,466 is: 389,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,494 : 181,466 = 181,466 : x
  2. Step 2: Convert to fraction form
    84,494/181,466 = 181,466/x
  3. Step 3: Cross multiply
    84,494x = 181,466 × 181,466
  4. Step 4: Simplify right side
    84,494x = 32,929,909,156
  5. Step 5: Solve for x
    x = 32,929,909,156/84,494
  6. Step 6: Final answer
    x = 389,730.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.