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Finding the Third Proportional to 138,045 and 295,757

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Solution

The third proportional to 138,045 and 295,757 is: 633,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,045 : 295,757 = 295,757 : x
  2. Step 2: Convert to fraction form
    138,045/295,757 = 295,757/x
  3. Step 3: Cross multiply
    138,045x = 295,757 × 295,757
  4. Step 4: Simplify right side
    138,045x = 87,472,203,049
  5. Step 5: Solve for x
    x = 87,472,203,049/138,045
  6. Step 6: Final answer
    x = 633,649.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.