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Finding the Third Proportional to 138,038 and 295,744

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Solution

The third proportional to 138,038 and 295,744 is: 633,626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,038 : 295,744 = 295,744 : x
  2. Step 2: Convert to fraction form
    138,038/295,744 = 295,744/x
  3. Step 3: Cross multiply
    138,038x = 295,744 × 295,744
  4. Step 4: Simplify right side
    138,038x = 87,464,513,536
  5. Step 5: Solve for x
    x = 87,464,513,536/138,038
  6. Step 6: Final answer
    x = 633,626.35

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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.