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Finding the Third Proportional to 217,696 and 336,248

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Solution

The third proportional to 217,696 and 336,248 is: 519,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,696 : 336,248 = 336,248 : x
  2. Step 2: Convert to fraction form
    217,696/336,248 = 336,248/x
  3. Step 3: Cross multiply
    217,696x = 336,248 × 336,248
  4. Step 4: Simplify right side
    217,696x = 113,062,717,504
  5. Step 5: Solve for x
    x = 113,062,717,504/217,696
  6. Step 6: Final answer
    x = 519,360.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.