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Finding the Third Proportional to 140,184.56 and 304,031.25

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Solution

The third proportional to 140,184.56 and 304,031.25 is: 659,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,184.56 : 304,031.25 = 304,031.25 : x
  2. Step 2: Convert to fraction form
    140,184.56/304,031.25 = 304,031.25/x
  3. Step 3: Cross multiply
    140,184.56x = 304,031.25 × 304,031.25
  4. Step 4: Simplify right side
    140,184.56x = 92,435,000,976.56
  5. Step 5: Solve for x
    x = 92,435,000,976.56/140,184.56
  6. Step 6: Final answer
    x = 659,380.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.