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Finding the Third Proportional to 156,041.60 and 335,764.30

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Solution

The third proportional to 156,041.60 and 335,764.30 is: 722,484.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,041.60 : 335,764.30 = 335,764.30 : x
  2. Step 2: Convert to fraction form
    156,041.60/335,764.30 = 335,764.30/x
  3. Step 3: Cross multiply
    156,041.60x = 335,764.30 × 335,764.30
  4. Step 4: Simplify right side
    156,041.60x = 112,737,665,679.12
  5. Step 5: Solve for x
    x = 112,737,665,679.12/156,041.60
  6. Step 6: Final answer
    x = 722,484.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.