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Finding the Third Proportional to 195,399.84 and 296,892.84

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Solution

The third proportional to 195,399.84 and 296,892.84 is: 451,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,399.84 : 296,892.84 = 296,892.84 : x
  2. Step 2: Convert to fraction form
    195,399.84/296,892.84 = 296,892.84/x
  3. Step 3: Cross multiply
    195,399.84x = 296,892.84 × 296,892.84
  4. Step 4: Simplify right side
    195,399.84x = 88,145,360,669.96
  5. Step 5: Solve for x
    x = 88,145,360,669.96/195,399.84
  6. Step 6: Final answer
    x = 451,102.51

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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.