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Finding the Third Proportional to 160,002 and 247,806

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Solution

The third proportional to 160,002 and 247,806 is: 383,794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,002 : 247,806 = 247,806 : x
  2. Step 2: Convert to fraction form
    160,002/247,806 = 247,806/x
  3. Step 3: Cross multiply
    160,002x = 247,806 × 247,806
  4. Step 4: Simplify right side
    160,002x = 61,407,813,636
  5. Step 5: Solve for x
    x = 61,407,813,636/160,002
  6. Step 6: Final answer
    x = 383,794.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.