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Finding the Third Proportional to 135,960 and 291,597

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Solution

The third proportional to 135,960 and 291,597 is: 625,395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,960 : 291,597 = 291,597 : x
  2. Step 2: Convert to fraction form
    135,960/291,597 = 291,597/x
  3. Step 3: Cross multiply
    135,960x = 291,597 × 291,597
  4. Step 4: Simplify right side
    135,960x = 85,028,810,409
  5. Step 5: Solve for x
    x = 85,028,810,409/135,960
  6. Step 6: Final answer
    x = 625,395.78

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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.