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Finding the Third Proportional to 138,112 and 295,888

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Solution

The third proportional to 138,112 and 295,888 is: 633,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,112 : 295,888 = 295,888 : x
  2. Step 2: Convert to fraction form
    138,112/295,888 = 295,888/x
  3. Step 3: Cross multiply
    138,112x = 295,888 × 295,888
  4. Step 4: Simplify right side
    138,112x = 87,549,708,544
  5. Step 5: Solve for x
    x = 87,549,708,544/138,112
  6. Step 6: Final answer
    x = 633,903.71

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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.