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Finding the Third Proportional to 138,264 and 296,112

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Solution

The third proportional to 138,264 and 296,112 is: 634,165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,264 : 296,112 = 296,112 : x
  2. Step 2: Convert to fraction form
    138,264/296,112 = 296,112/x
  3. Step 3: Cross multiply
    138,264x = 296,112 × 296,112
  4. Step 4: Simplify right side
    138,264x = 87,682,316,544
  5. Step 5: Solve for x
    x = 87,682,316,544/138,264
  6. Step 6: Final answer
    x = 634,165.92

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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.