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Finding the Third Proportional to 172,134.75 and 234,672.75

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Solution

The third proportional to 172,134.75 and 234,672.75 is: 319,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,134.75 : 234,672.75 = 234,672.75 : x
  2. Step 2: Convert to fraction form
    172,134.75/234,672.75 = 234,672.75/x
  3. Step 3: Cross multiply
    172,134.75x = 234,672.75 × 234,672.75
  4. Step 4: Simplify right side
    172,134.75x = 55,071,299,592.56
  5. Step 5: Solve for x
    x = 55,071,299,592.56/172,134.75
  6. Step 6: Final answer
    x = 319,931.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.