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Finding the Third Proportional to 217,164 and 332,205

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Solution

The third proportional to 217,164 and 332,205 is: 508,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,164 : 332,205 = 332,205 : x
  2. Step 2: Convert to fraction form
    217,164/332,205 = 332,205/x
  3. Step 3: Cross multiply
    217,164x = 332,205 × 332,205
  4. Step 4: Simplify right side
    217,164x = 110,360,162,025
  5. Step 5: Solve for x
    x = 110,360,162,025/217,164
  6. Step 6: Final answer
    x = 508,188.11

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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.