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Finding the Third Proportional to 195,282.75 and 296,204.25

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Solution

The third proportional to 195,282.75 and 296,204.25 is: 449,281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,282.75 : 296,204.25 = 296,204.25 : x
  2. Step 2: Convert to fraction form
    195,282.75/296,204.25 = 296,204.25/x
  3. Step 3: Cross multiply
    195,282.75x = 296,204.25 × 296,204.25
  4. Step 4: Simplify right side
    195,282.75x = 87,736,957,718.06
  5. Step 5: Solve for x
    x = 87,736,957,718.06/195,282.75
  6. Step 6: Final answer
    x = 449,281.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.