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Finding the Third Proportional to 163,674 and 247,725

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Solution

The third proportional to 163,674 and 247,725 is: 374,938.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,674 : 247,725 = 247,725 : x
  2. Step 2: Convert to fraction form
    163,674/247,725 = 247,725/x
  3. Step 3: Cross multiply
    163,674x = 247,725 × 247,725
  4. Step 4: Simplify right side
    163,674x = 61,367,675,625
  5. Step 5: Solve for x
    x = 61,367,675,625/163,674
  6. Step 6: Final answer
    x = 374,938.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.