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Finding the Third Proportional to 138,006 and 295,686

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Solution

The third proportional to 138,006 and 295,686 is: 633,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,006 : 295,686 = 295,686 : x
  2. Step 2: Convert to fraction form
    138,006/295,686 = 295,686/x
  3. Step 3: Cross multiply
    138,006x = 295,686 × 295,686
  4. Step 4: Simplify right side
    138,006x = 87,430,210,596
  5. Step 5: Solve for x
    x = 87,430,210,596/138,006
  6. Step 6: Final answer
    x = 633,524.71

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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.