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Finding the Third Proportional to 71,354.99 and 156,834.35

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Solution

The third proportional to 71,354.99 and 156,834.35 is: 344,713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,354.99 : 156,834.35 = 156,834.35 : x
  2. Step 2: Convert to fraction form
    71,354.99/156,834.35 = 156,834.35/x
  3. Step 3: Cross multiply
    71,354.99x = 156,834.35 × 156,834.35
  4. Step 4: Simplify right side
    71,354.99x = 24,597,013,830.03
  5. Step 5: Solve for x
    x = 24,597,013,830.03/71,354.99
  6. Step 6: Final answer
    x = 344,713.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.