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Finding the Third Proportional to 138,242 and 296,132

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Solution

The third proportional to 138,242 and 296,132 is: 634,352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,242 : 296,132 = 296,132 : x
  2. Step 2: Convert to fraction form
    138,242/296,132 = 296,132/x
  3. Step 3: Cross multiply
    138,242x = 296,132 × 296,132
  4. Step 4: Simplify right side
    138,242x = 87,694,161,424
  5. Step 5: Solve for x
    x = 87,694,161,424/138,242
  6. Step 6: Final answer
    x = 634,352.52

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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.