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Finding the Third Proportional to 193,587.19 and 415,191.38

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Solution

The third proportional to 193,587.19 and 415,191.38 is: 890,471.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,587.19 : 415,191.38 = 415,191.38 : x
  2. Step 2: Convert to fraction form
    193,587.19/415,191.38 = 415,191.38/x
  3. Step 3: Cross multiply
    193,587.19x = 415,191.38 × 415,191.38
  4. Step 4: Simplify right side
    193,587.19x = 172,383,877,874.39
  5. Step 5: Solve for x
    x = 172,383,877,874.39/193,587.19
  6. Step 6: Final answer
    x = 890,471.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.