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Finding the Third Proportional to 136,022 and 296,132

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Solution

The third proportional to 136,022 and 296,132 is: 644,705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,022 : 296,132 = 296,132 : x
  2. Step 2: Convert to fraction form
    136,022/296,132 = 296,132/x
  3. Step 3: Cross multiply
    136,022x = 296,132 × 296,132
  4. Step 4: Simplify right side
    136,022x = 87,694,161,424
  5. Step 5: Solve for x
    x = 87,694,161,424/136,022
  6. Step 6: Final answer
    x = 644,705.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.