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Finding the Third Proportional to 135,830 and 289,180

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Solution

The third proportional to 135,830 and 289,180 is: 615,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,830 : 289,180 = 289,180 : x
  2. Step 2: Convert to fraction form
    135,830/289,180 = 289,180/x
  3. Step 3: Cross multiply
    135,830x = 289,180 × 289,180
  4. Step 4: Simplify right side
    135,830x = 83,625,072,400
  5. Step 5: Solve for x
    x = 83,625,072,400/135,830
  6. Step 6: Final answer
    x = 615,659.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.