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Finding the Third Proportional to 80,051 and 185,304

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Solution

The third proportional to 80,051 and 185,304 is: 428,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,051 : 185,304 = 185,304 : x
  2. Step 2: Convert to fraction form
    80,051/185,304 = 185,304/x
  3. Step 3: Cross multiply
    80,051x = 185,304 × 185,304
  4. Step 4: Simplify right side
    80,051x = 34,337,572,416
  5. Step 5: Solve for x
    x = 34,337,572,416/80,051
  6. Step 6: Final answer
    x = 428,946.20

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.