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Finding the Third Proportional to 215,520.75 and 317,017.13

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Solution

The third proportional to 215,520.75 and 317,017.13 is: 466,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,520.75 : 317,017.13 = 317,017.13 : x
  2. Step 2: Convert to fraction form
    215,520.75/317,017.13 = 317,017.13/x
  3. Step 3: Cross multiply
    215,520.75x = 317,017.13 × 317,017.13
  4. Step 4: Simplify right side
    215,520.75x = 100,499,857,543.27
  5. Step 5: Solve for x
    x = 100,499,857,543.27/215,520.75
  6. Step 6: Final answer
    x = 466,311.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.