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Finding the Third Proportional to 156,252.38 and 221,241.38

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Solution

The third proportional to 156,252.38 and 221,241.38 is: 313,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,252.38 : 221,241.38 = 221,241.38 : x
  2. Step 2: Convert to fraction form
    156,252.38/221,241.38 = 221,241.38/x
  3. Step 3: Cross multiply
    156,252.38x = 221,241.38 × 221,241.38
  4. Step 4: Simplify right side
    156,252.38x = 48,947,746,011.89
  5. Step 5: Solve for x
    x = 48,947,746,011.89/156,252.38
  6. Step 6: Final answer
    x = 313,260.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.