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Finding the Third Proportional to 217,614.09 and 332,670.80

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Solution

The third proportional to 217,614.09 and 332,670.80 is: 508,560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,614.09 : 332,670.80 = 332,670.80 : x
  2. Step 2: Convert to fraction form
    217,614.09/332,670.80 = 332,670.80/x
  3. Step 3: Cross multiply
    217,614.09x = 332,670.80 × 332,670.80
  4. Step 4: Simplify right side
    217,614.09x = 110,669,859,093.45
  5. Step 5: Solve for x
    x = 110,669,859,093.45/217,614.09
  6. Step 6: Final answer
    x = 508,560.16

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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.