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Finding the Third Proportional to 217,160 and 332,198.25

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Solution

The third proportional to 217,160 and 332,198.25 is: 508,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,160 : 332,198.25 = 332,198.25 : x
  2. Step 2: Convert to fraction form
    217,160/332,198.25 = 332,198.25/x
  3. Step 3: Cross multiply
    217,160x = 332,198.25 × 332,198.25
  4. Step 4: Simplify right side
    217,160x = 110,355,677,303.06
  5. Step 5: Solve for x
    x = 110,355,677,303.06/217,160
  6. Step 6: Final answer
    x = 508,176.82

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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.