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Finding the Third Proportional to 195,216.75 and 427,794.75

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Solution

The third proportional to 195,216.75 and 427,794.75 is: 937,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,216.75 : 427,794.75 = 427,794.75 : x
  2. Step 2: Convert to fraction form
    195,216.75/427,794.75 = 427,794.75/x
  3. Step 3: Cross multiply
    195,216.75x = 427,794.75 × 427,794.75
  4. Step 4: Simplify right side
    195,216.75x = 183,008,348,127.56
  5. Step 5: Solve for x
    x = 183,008,348,127.56/195,216.75
  6. Step 6: Final answer
    x = 937,462.32

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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.