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Finding the Third Proportional to 71,403.50 and 156,820

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Solution

The third proportional to 71,403.50 and 156,820 is: 344,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,403.50 : 156,820 = 156,820 : x
  2. Step 2: Convert to fraction form
    71,403.50/156,820 = 156,820/x
  3. Step 3: Cross multiply
    71,403.50x = 156,820 × 156,820
  4. Step 4: Simplify right side
    71,403.50x = 24,592,512,400
  5. Step 5: Solve for x
    x = 24,592,512,400/71,403.50
  6. Step 6: Final answer
    x = 344,416.06

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