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Finding the Third Proportional to 169,889 and 237,643

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Solution

The third proportional to 169,889 and 237,643 is: 332,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,889 : 237,643 = 237,643 : x
  2. Step 2: Convert to fraction form
    169,889/237,643 = 237,643/x
  3. Step 3: Cross multiply
    169,889x = 237,643 × 237,643
  4. Step 4: Simplify right side
    169,889x = 56,474,195,449
  5. Step 5: Solve for x
    x = 56,474,195,449/169,889
  6. Step 6: Final answer
    x = 332,418.20

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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.