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Finding the Third Proportional to 217,159.50 and 332,197.50

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Solution

The third proportional to 217,159.50 and 332,197.50 is: 508,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,159.50 : 332,197.50 = 332,197.50 : x
  2. Step 2: Convert to fraction form
    217,159.50/332,197.50 = 332,197.50/x
  3. Step 3: Cross multiply
    217,159.50x = 332,197.50 × 332,197.50
  4. Step 4: Simplify right side
    217,159.50x = 110,355,179,006.25
  5. Step 5: Solve for x
    x = 110,355,179,006.25/217,159.50
  6. Step 6: Final answer
    x = 508,175.69

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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.