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Finding the Third Proportional to 149,167 and 225,917

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Solution

The third proportional to 149,167 and 225,917 is: 342,156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,167 : 225,917 = 225,917 : x
  2. Step 2: Convert to fraction form
    149,167/225,917 = 225,917/x
  3. Step 3: Cross multiply
    149,167x = 225,917 × 225,917
  4. Step 4: Simplify right side
    149,167x = 51,038,490,889
  5. Step 5: Solve for x
    x = 51,038,490,889/149,167
  6. Step 6: Final answer
    x = 342,156.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.