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Finding the Third Proportional to 149,133 and 225,872

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Solution

The third proportional to 149,133 and 225,872 is: 342,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,133 : 225,872 = 225,872 : x
  2. Step 2: Convert to fraction form
    149,133/225,872 = 225,872/x
  3. Step 3: Cross multiply
    149,133x = 225,872 × 225,872
  4. Step 4: Simplify right side
    149,133x = 51,018,160,384
  5. Step 5: Solve for x
    x = 51,018,160,384/149,133
  6. Step 6: Final answer
    x = 342,098.40

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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.