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Finding the Third Proportional to 149,038 and 225,484

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Solution

The third proportional to 149,038 and 225,484 is: 341,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,038 : 225,484 = 225,484 : x
  2. Step 2: Convert to fraction form
    149,038/225,484 = 225,484/x
  3. Step 3: Cross multiply
    149,038x = 225,484 × 225,484
  4. Step 4: Simplify right side
    149,038x = 50,843,034,256
  5. Step 5: Solve for x
    x = 50,843,034,256/149,038
  6. Step 6: Final answer
    x = 341,141.42

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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.