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Finding the Third Proportional to 217,340 and 332,468

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Solution

The third proportional to 217,340 and 332,468 is: 508,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,340 : 332,468 = 332,468 : x
  2. Step 2: Convert to fraction form
    217,340/332,468 = 332,468/x
  3. Step 3: Cross multiply
    217,340x = 332,468 × 332,468
  4. Step 4: Simplify right side
    217,340x = 110,534,971,024
  5. Step 5: Solve for x
    x = 110,534,971,024/217,340
  6. Step 6: Final answer
    x = 508,580.89

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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.