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Finding the Third Proportional to 126,317.81 and 270,138.38

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Solution

The third proportional to 126,317.81 and 270,138.38 is: 577,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,317.81 : 270,138.38 = 270,138.38 : x
  2. Step 2: Convert to fraction form
    126,317.81/270,138.38 = 270,138.38/x
  3. Step 3: Cross multiply
    126,317.81x = 270,138.38 × 270,138.38
  4. Step 4: Simplify right side
    126,317.81x = 72,974,741,647.64
  5. Step 5: Solve for x
    x = 72,974,741,647.64/126,317.81
  6. Step 6: Final answer
    x = 577,707.45

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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.