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Finding the Third Proportional to 98,452 and 213,374

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Solution

The third proportional to 98,452 and 213,374 is: 462,443.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,452 : 213,374 = 213,374 : x
  2. Step 2: Convert to fraction form
    98,452/213,374 = 213,374/x
  3. Step 3: Cross multiply
    98,452x = 213,374 × 213,374
  4. Step 4: Simplify right side
    98,452x = 45,528,463,876
  5. Step 5: Solve for x
    x = 45,528,463,876/98,452
  6. Step 6: Final answer
    x = 462,443.26

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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.