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Finding the Third Proportional to 195,993.38 and 415,536

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Solution

The third proportional to 195,993.38 and 415,536 is: 881,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,993.38 : 415,536 = 415,536 : x
  2. Step 2: Convert to fraction form
    195,993.38/415,536 = 415,536/x
  3. Step 3: Cross multiply
    195,993.38x = 415,536 × 415,536
  4. Step 4: Simplify right side
    195,993.38x = 172,670,167,296
  5. Step 5: Solve for x
    x = 172,670,167,296/195,993.38
  6. Step 6: Final answer
    x = 881,000.02

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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.