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Finding the Third Proportional to 169,894 and 237,625

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Solution

The third proportional to 169,894 and 237,625 is: 332,358.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,894 : 237,625 = 237,625 : x
  2. Step 2: Convert to fraction form
    169,894/237,625 = 237,625/x
  3. Step 3: Cross multiply
    169,894x = 237,625 × 237,625
  4. Step 4: Simplify right side
    169,894x = 56,465,640,625
  5. Step 5: Solve for x
    x = 56,465,640,625/169,894
  6. Step 6: Final answer
    x = 332,358.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.