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Finding the Third Proportional to 138,051 and 295,785

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Solution

The third proportional to 138,051 and 295,785 is: 633,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,051 : 295,785 = 295,785 : x
  2. Step 2: Convert to fraction form
    138,051/295,785 = 295,785/x
  3. Step 3: Cross multiply
    138,051x = 295,785 × 295,785
  4. Step 4: Simplify right side
    138,051x = 87,488,766,225
  5. Step 5: Solve for x
    x = 87,488,766,225/138,051
  6. Step 6: Final answer
    x = 633,742.36

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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.