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Finding the Third Proportional to 75,298.50 and 156,834.75

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Solution

The third proportional to 75,298.50 and 156,834.75 is: 326,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,298.50 : 156,834.75 = 156,834.75 : x
  2. Step 2: Convert to fraction form
    75,298.50/156,834.75 = 156,834.75/x
  3. Step 3: Cross multiply
    75,298.50x = 156,834.75 × 156,834.75
  4. Step 4: Simplify right side
    75,298.50x = 24,597,138,807.56
  5. Step 5: Solve for x
    x = 24,597,138,807.56/75,298.50
  6. Step 6: Final answer
    x = 326,661.74

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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.