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Finding the Third Proportional to 138,250 and 296,084

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Solution

The third proportional to 138,250 and 296,084 is: 634,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,250 : 296,084 = 296,084 : x
  2. Step 2: Convert to fraction form
    138,250/296,084 = 296,084/x
  3. Step 3: Cross multiply
    138,250x = 296,084 × 296,084
  4. Step 4: Simplify right side
    138,250x = 87,665,735,056
  5. Step 5: Solve for x
    x = 87,665,735,056/138,250
  6. Step 6: Final answer
    x = 634,110.20

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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.