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Finding the Third Proportional to 149,715 and 226,125

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Solution

The third proportional to 149,715 and 226,125 is: 341,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,715 : 226,125 = 226,125 : x
  2. Step 2: Convert to fraction form
    149,715/226,125 = 226,125/x
  3. Step 3: Cross multiply
    149,715x = 226,125 × 226,125
  4. Step 4: Simplify right side
    149,715x = 51,132,515,625
  5. Step 5: Solve for x
    x = 51,132,515,625/149,715
  6. Step 6: Final answer
    x = 341,532.35

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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.