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Finding the Third Proportional to 135,967 and 297,632

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Solution

The third proportional to 135,967 and 297,632 is: 651,516.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,967 : 297,632 = 297,632 : x
  2. Step 2: Convert to fraction form
    135,967/297,632 = 297,632/x
  3. Step 3: Cross multiply
    135,967x = 297,632 × 297,632
  4. Step 4: Simplify right side
    135,967x = 88,584,807,424
  5. Step 5: Solve for x
    x = 88,584,807,424/135,967
  6. Step 6: Final answer
    x = 651,516.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.