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Finding the Third Proportional to 163,291 and 247,397

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Solution

The third proportional to 163,291 and 247,397 is: 374,823.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,291 : 247,397 = 247,397 : x
  2. Step 2: Convert to fraction form
    163,291/247,397 = 247,397/x
  3. Step 3: Cross multiply
    163,291x = 247,397 × 247,397
  4. Step 4: Simplify right side
    163,291x = 61,205,275,609
  5. Step 5: Solve for x
    x = 61,205,275,609/163,291
  6. Step 6: Final answer
    x = 374,823.33

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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.