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Finding the Third Proportional to 219,246.75 and 363,315.38

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Solution

The third proportional to 219,246.75 and 363,315.38 is: 602,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,246.75 : 363,315.38 = 363,315.38 : x
  2. Step 2: Convert to fraction form
    219,246.75/363,315.38 = 363,315.38/x
  3. Step 3: Cross multiply
    219,246.75x = 363,315.38 × 363,315.38
  4. Step 4: Simplify right side
    219,246.75x = 131,998,061,711.39
  5. Step 5: Solve for x
    x = 131,998,061,711.39/219,246.75
  6. Step 6: Final answer
    x = 602,052.54

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.