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Finding the Third Proportional to 209,595.38 and 296,289.38

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Solution

The third proportional to 209,595.38 and 296,289.38 is: 418,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,595.38 : 296,289.38 = 296,289.38 : x
  2. Step 2: Convert to fraction form
    209,595.38/296,289.38 = 296,289.38/x
  3. Step 3: Cross multiply
    209,595.38x = 296,289.38 × 296,289.38
  4. Step 4: Simplify right side
    209,595.38x = 87,787,393,737.89
  5. Step 5: Solve for x
    x = 87,787,393,737.89/209,595.38
  6. Step 6: Final answer
    x = 418,842.23

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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.