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Finding the Third Proportional to 169,896 and 237,628

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Solution

The third proportional to 169,896 and 237,628 is: 332,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,896 : 237,628 = 237,628 : x
  2. Step 2: Convert to fraction form
    169,896/237,628 = 237,628/x
  3. Step 3: Cross multiply
    169,896x = 237,628 × 237,628
  4. Step 4: Simplify right side
    169,896x = 56,467,066,384
  5. Step 5: Solve for x
    x = 56,467,066,384/169,896
  6. Step 6: Final answer
    x = 332,362.54

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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.