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Finding the Third Proportional to 194,883.75 and 427,007.25

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Solution

The third proportional to 194,883.75 and 427,007.25 is: 935,610.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,883.75 : 427,007.25 = 427,007.25 : x
  2. Step 2: Convert to fraction form
    194,883.75/427,007.25 = 427,007.25/x
  3. Step 3: Cross multiply
    194,883.75x = 427,007.25 × 427,007.25
  4. Step 4: Simplify right side
    194,883.75x = 182,335,191,552.56
  5. Step 5: Solve for x
    x = 182,335,191,552.56/194,883.75
  6. Step 6: Final answer
    x = 935,610.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.