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Finding the Third Proportional to 75,366.28 and 156,934.13

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Solution

The third proportional to 75,366.28 and 156,934.13 is: 326,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,366.28 : 156,934.13 = 156,934.13 : x
  2. Step 2: Convert to fraction form
    75,366.28/156,934.13 = 156,934.13/x
  3. Step 3: Cross multiply
    75,366.28x = 156,934.13 × 156,934.13
  4. Step 4: Simplify right side
    75,366.28x = 24,628,319,589.52
  5. Step 5: Solve for x
    x = 24,628,319,589.52/75,366.28
  6. Step 6: Final answer
    x = 326,781.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.