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Finding the Third Proportional to 159,904 and 234,672

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Solution

The third proportional to 159,904 and 234,672 is: 344,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,904 : 234,672 = 234,672 : x
  2. Step 2: Convert to fraction form
    159,904/234,672 = 234,672/x
  3. Step 3: Cross multiply
    159,904x = 234,672 × 234,672
  4. Step 4: Simplify right side
    159,904x = 55,070,947,584
  5. Step 5: Solve for x
    x = 55,070,947,584/159,904
  6. Step 6: Final answer
    x = 344,400.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.