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Finding the Third Proportional to 156,003 and 247,957

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Solution

The third proportional to 156,003 and 247,957 is: 394,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,003 : 247,957 = 247,957 : x
  2. Step 2: Convert to fraction form
    156,003/247,957 = 247,957/x
  3. Step 3: Cross multiply
    156,003x = 247,957 × 247,957
  4. Step 4: Simplify right side
    156,003x = 61,482,673,849
  5. Step 5: Solve for x
    x = 61,482,673,849/156,003
  6. Step 6: Final answer
    x = 394,112.13

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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.