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Finding the Third Proportional to 150,252 and 229,167

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Solution

The third proportional to 150,252 and 229,167 is: 349,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,252 : 229,167 = 229,167 : x
  2. Step 2: Convert to fraction form
    150,252/229,167 = 229,167/x
  3. Step 3: Cross multiply
    150,252x = 229,167 × 229,167
  4. Step 4: Simplify right side
    150,252x = 52,517,513,889
  5. Step 5: Solve for x
    x = 52,517,513,889/150,252
  6. Step 6: Final answer
    x = 349,529.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.