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Finding the Third Proportional to 126,438.79 and 270,869.06

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Solution

The third proportional to 126,438.79 and 270,869.06 is: 580,281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,438.79 : 270,869.06 = 270,869.06 : x
  2. Step 2: Convert to fraction form
    126,438.79/270,869.06 = 270,869.06/x
  3. Step 3: Cross multiply
    126,438.79x = 270,869.06 × 270,869.06
  4. Step 4: Simplify right side
    126,438.79x = 73,370,049,019.63
  5. Step 5: Solve for x
    x = 73,370,049,019.63/126,438.79
  6. Step 6: Final answer
    x = 580,281.19

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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.