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Finding the Third Proportional to 209,595 and 296,287.88

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Solution

The third proportional to 209,595 and 296,287.88 is: 418,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,595 : 296,287.88 = 296,287.88 : x
  2. Step 2: Convert to fraction form
    209,595/296,287.88 = 296,287.88/x
  3. Step 3: Cross multiply
    209,595x = 296,287.88 × 296,287.88
  4. Step 4: Simplify right side
    209,595x = 87,786,504,872.02
  5. Step 5: Solve for x
    x = 87,786,504,872.02/209,595
  6. Step 6: Final answer
    x = 418,838.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.