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Finding the Third Proportional to 195,452 and 425,878

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Solution

The third proportional to 195,452 and 425,878 is: 927,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,452 : 425,878 = 425,878 : x
  2. Step 2: Convert to fraction form
    195,452/425,878 = 425,878/x
  3. Step 3: Cross multiply
    195,452x = 425,878 × 425,878
  4. Step 4: Simplify right side
    195,452x = 181,372,070,884
  5. Step 5: Solve for x
    x = 181,372,070,884/195,452
  6. Step 6: Final answer
    x = 927,962.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.