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Finding the Third Proportional to 197,331 and 427,926

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Solution

The third proportional to 197,331 and 427,926 is: 927,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,331 : 427,926 = 427,926 : x
  2. Step 2: Convert to fraction form
    197,331/427,926 = 427,926/x
  3. Step 3: Cross multiply
    197,331x = 427,926 × 427,926
  4. Step 4: Simplify right side
    197,331x = 183,120,661,476
  5. Step 5: Solve for x
    x = 183,120,661,476/197,331
  6. Step 6: Final answer
    x = 927,987.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.