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Finding the Third Proportional to 156,005 and 247,960

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Solution

The third proportional to 156,005 and 247,960 is: 394,116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,005 : 247,960 = 247,960 : x
  2. Step 2: Convert to fraction form
    156,005/247,960 = 247,960/x
  3. Step 3: Cross multiply
    156,005x = 247,960 × 247,960
  4. Step 4: Simplify right side
    156,005x = 61,484,161,600
  5. Step 5: Solve for x
    x = 61,484,161,600/156,005
  6. Step 6: Final answer
    x = 394,116.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.