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Finding the Third Proportional to 110,298 and 155,319

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Solution

The third proportional to 110,298 and 155,319 is: 218,716.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,298 : 155,319 = 155,319 : x
  2. Step 2: Convert to fraction form
    110,298/155,319 = 155,319/x
  3. Step 3: Cross multiply
    110,298x = 155,319 × 155,319
  4. Step 4: Simplify right side
    110,298x = 24,123,991,761
  5. Step 5: Solve for x
    x = 24,123,991,761/110,298
  6. Step 6: Final answer
    x = 218,716.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.