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Finding the Third Proportional to 217,836 and 336,482

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Solution

The third proportional to 217,836 and 336,482 is: 519,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,836 : 336,482 = 336,482 : x
  2. Step 2: Convert to fraction form
    217,836/336,482 = 336,482/x
  3. Step 3: Cross multiply
    217,836x = 336,482 × 336,482
  4. Step 4: Simplify right side
    217,836x = 113,220,136,324
  5. Step 5: Solve for x
    x = 113,220,136,324/217,836
  6. Step 6: Final answer
    x = 519,749.43

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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.