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Finding the Third Proportional to 135,468 and 201,241

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Solution

The third proportional to 135,468 and 201,241 is: 298,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,468 : 201,241 = 201,241 : x
  2. Step 2: Convert to fraction form
    135,468/201,241 = 201,241/x
  3. Step 3: Cross multiply
    135,468x = 201,241 × 201,241
  4. Step 4: Simplify right side
    135,468x = 40,497,940,081
  5. Step 5: Solve for x
    x = 40,497,940,081/135,468
  6. Step 6: Final answer
    x = 298,948.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.