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Finding the Third Proportional to 217,315.83 and 332,432.86

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Solution

The third proportional to 217,315.83 and 332,432.86 is: 508,529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,315.83 : 332,432.86 = 332,432.86 : x
  2. Step 2: Convert to fraction form
    217,315.83/332,432.86 = 332,432.86/x
  3. Step 3: Cross multiply
    217,315.83x = 332,432.86 × 332,432.86
  4. Step 4: Simplify right side
    217,315.83x = 110,511,605,992.24
  5. Step 5: Solve for x
    x = 110,511,605,992.24/217,315.83
  6. Step 6: Final answer
    x = 508,529.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.