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Finding the Third Proportional to 135,366.19 and 296,976.38

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Solution

The third proportional to 135,366.19 and 296,976.38 is: 651,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,366.19 : 296,976.38 = 296,976.38 : x
  2. Step 2: Convert to fraction form
    135,366.19/296,976.38 = 296,976.38/x
  3. Step 3: Cross multiply
    135,366.19x = 296,976.38 × 296,976.38
  4. Step 4: Simplify right side
    135,366.19x = 88,194,967,308.14
  5. Step 5: Solve for x
    x = 88,194,967,308.14/135,366.19
  6. Step 6: Final answer
    x = 651,528.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.