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Finding the Third Proportional to 197,291.25 and 427,781.25

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Solution

The third proportional to 197,291.25 and 427,781.25 is: 927,546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,291.25 : 427,781.25 = 427,781.25 : x
  2. Step 2: Convert to fraction form
    197,291.25/427,781.25 = 427,781.25/x
  3. Step 3: Cross multiply
    197,291.25x = 427,781.25 × 427,781.25
  4. Step 4: Simplify right side
    197,291.25x = 182,996,797,851.56
  5. Step 5: Solve for x
    x = 182,996,797,851.56/197,291.25
  6. Step 6: Final answer
    x = 927,546.45

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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.