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Finding the Third Proportional to 195,990.56 and 415,530.75

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Solution

The third proportional to 195,990.56 and 415,530.75 is: 880,990.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,990.56 : 415,530.75 = 415,530.75 : x
  2. Step 2: Convert to fraction form
    195,990.56/415,530.75 = 415,530.75/x
  3. Step 3: Cross multiply
    195,990.56x = 415,530.75 × 415,530.75
  4. Step 4: Simplify right side
    195,990.56x = 172,665,804,195.56
  5. Step 5: Solve for x
    x = 172,665,804,195.56/195,990.56
  6. Step 6: Final answer
    x = 880,990.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.