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Finding the Third Proportional to 163,291.50 and 247,398

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Solution

The third proportional to 163,291.50 and 247,398 is: 374,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,291.50 : 247,398 = 247,398 : x
  2. Step 2: Convert to fraction form
    163,291.50/247,398 = 247,398/x
  3. Step 3: Cross multiply
    163,291.50x = 247,398 × 247,398
  4. Step 4: Simplify right side
    163,291.50x = 61,205,770,404
  5. Step 5: Solve for x
    x = 61,205,770,404/163,291.50
  6. Step 6: Final answer
    x = 374,825.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.