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Finding the Third Proportional to 135,335.81 and 273,952.13

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Solution

The third proportional to 135,335.81 and 273,952.13 is: 554,544.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,335.81 : 273,952.13 = 273,952.13 : x
  2. Step 2: Convert to fraction form
    135,335.81/273,952.13 = 273,952.13/x
  3. Step 3: Cross multiply
    135,335.81x = 273,952.13 × 273,952.13
  4. Step 4: Simplify right side
    135,335.81x = 75,049,766,792.02
  5. Step 5: Solve for x
    x = 75,049,766,792.02/135,335.81
  6. Step 6: Final answer
    x = 554,544.77

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.