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Finding the Third Proportional to 193,590.84 and 415,206.84

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Solution

The third proportional to 193,590.84 and 415,206.84 is: 890,521.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,590.84 : 415,206.84 = 415,206.84 : x
  2. Step 2: Convert to fraction form
    193,590.84/415,206.84 = 415,206.84/x
  3. Step 3: Cross multiply
    193,590.84x = 415,206.84 × 415,206.84
  4. Step 4: Simplify right side
    193,590.84x = 172,396,723,096.84
  5. Step 5: Solve for x
    x = 172,396,723,096.84/193,590.84
  6. Step 6: Final answer
    x = 890,521.06

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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.