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Finding the Third Proportional to 169,908 and 237,702

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Solution

The third proportional to 169,908 and 237,702 is: 332,546.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,908 : 237,702 = 237,702 : x
  2. Step 2: Convert to fraction form
    169,908/237,702 = 237,702/x
  3. Step 3: Cross multiply
    169,908x = 237,702 × 237,702
  4. Step 4: Simplify right side
    169,908x = 56,502,240,804
  5. Step 5: Solve for x
    x = 56,502,240,804/169,908
  6. Step 6: Final answer
    x = 332,546.09

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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.