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Finding the Third Proportional to 80,031 and 185,254.50

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Solution

The third proportional to 80,031 and 185,254.50 is: 428,824.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,031 : 185,254.50 = 185,254.50 : x
  2. Step 2: Convert to fraction form
    80,031/185,254.50 = 185,254.50/x
  3. Step 3: Cross multiply
    80,031x = 185,254.50 × 185,254.50
  4. Step 4: Simplify right side
    80,031x = 34,319,229,770.25
  5. Step 5: Solve for x
    x = 34,319,229,770.25/80,031
  6. Step 6: Final answer
    x = 428,824.20

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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.