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Finding the Third Proportional to 195,216.33 and 295,282.97

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Solution

The third proportional to 195,216.33 and 295,282.97 is: 446,643.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,216.33 : 295,282.97 = 295,282.97 : x
  2. Step 2: Convert to fraction form
    195,216.33/295,282.97 = 295,282.97/x
  3. Step 3: Cross multiply
    195,216.33x = 295,282.97 × 295,282.97
  4. Step 4: Simplify right side
    195,216.33x = 87,192,031,633.81
  5. Step 5: Solve for x
    x = 87,192,031,633.81/195,216.33
  6. Step 6: Final answer
    x = 446,643.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.