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Finding the Third Proportional to 217,858 and 336,498

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Solution

The third proportional to 217,858 and 336,498 is: 519,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,858 : 336,498 = 336,498 : x
  2. Step 2: Convert to fraction form
    217,858/336,498 = 336,498/x
  3. Step 3: Cross multiply
    217,858x = 336,498 × 336,498
  4. Step 4: Simplify right side
    217,858x = 113,230,904,004
  5. Step 5: Solve for x
    x = 113,230,904,004/217,858
  6. Step 6: Final answer
    x = 519,746.37

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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.