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Finding the Third Proportional to 169,372.50 and 247,698

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Solution

The third proportional to 169,372.50 and 247,698 is: 362,244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,372.50 : 247,698 = 247,698 : x
  2. Step 2: Convert to fraction form
    169,372.50/247,698 = 247,698/x
  3. Step 3: Cross multiply
    169,372.50x = 247,698 × 247,698
  4. Step 4: Simplify right side
    169,372.50x = 61,354,299,204
  5. Step 5: Solve for x
    x = 61,354,299,204/169,372.50
  6. Step 6: Final answer
    x = 362,244.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.