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Finding the Third Proportional to 149,146 and 225,892

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Solution

The third proportional to 149,146 and 225,892 is: 342,129.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,146 : 225,892 = 225,892 : x
  2. Step 2: Convert to fraction form
    149,146/225,892 = 225,892/x
  3. Step 3: Cross multiply
    149,146x = 225,892 × 225,892
  4. Step 4: Simplify right side
    149,146x = 51,027,195,664
  5. Step 5: Solve for x
    x = 51,027,195,664/149,146
  6. Step 6: Final answer
    x = 342,129.16

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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.