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Finding the Third Proportional to 135,656 and 291,376

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Solution

The third proportional to 135,656 and 291,376 is: 625,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,656 : 291,376 = 291,376 : x
  2. Step 2: Convert to fraction form
    135,656/291,376 = 291,376/x
  3. Step 3: Cross multiply
    135,656x = 291,376 × 291,376
  4. Step 4: Simplify right side
    135,656x = 84,899,973,376
  5. Step 5: Solve for x
    x = 84,899,973,376/135,656
  6. Step 6: Final answer
    x = 625,847.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.