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Finding the Third Proportional to 217,606.50 and 332,849.25

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Solution

The third proportional to 217,606.50 and 332,849.25 is: 509,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,606.50 : 332,849.25 = 332,849.25 : x
  2. Step 2: Convert to fraction form
    217,606.50/332,849.25 = 332,849.25/x
  3. Step 3: Cross multiply
    217,606.50x = 332,849.25 × 332,849.25
  4. Step 4: Simplify right side
    217,606.50x = 110,788,623,225.56
  5. Step 5: Solve for x
    x = 110,788,623,225.56/217,606.50
  6. Step 6: Final answer
    x = 509,123.69

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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.