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Finding the Third Proportional to 135,952 and 298,168

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Solution

The third proportional to 135,952 and 298,168 is: 653,937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,952 : 298,168 = 298,168 : x
  2. Step 2: Convert to fraction form
    135,952/298,168 = 298,168/x
  3. Step 3: Cross multiply
    135,952x = 298,168 × 298,168
  4. Step 4: Simplify right side
    135,952x = 88,904,156,224
  5. Step 5: Solve for x
    x = 88,904,156,224/135,952
  6. Step 6: Final answer
    x = 653,937.83

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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.