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Finding the Third Proportional to 169,890 and 237,619

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Solution

The third proportional to 169,890 and 237,619 is: 332,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,890 : 237,619 = 237,619 : x
  2. Step 2: Convert to fraction form
    169,890/237,619 = 237,619/x
  3. Step 3: Cross multiply
    169,890x = 237,619 × 237,619
  4. Step 4: Simplify right side
    169,890x = 56,462,789,161
  5. Step 5: Solve for x
    x = 56,462,789,161/169,890
  6. Step 6: Final answer
    x = 332,349.10

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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.