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Finding the Third Proportional to 226,355 and 317,259

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Solution

The third proportional to 226,355 and 317,259 is: 444,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,355 : 317,259 = 317,259 : x
  2. Step 2: Convert to fraction form
    226,355/317,259 = 317,259/x
  3. Step 3: Cross multiply
    226,355x = 317,259 × 317,259
  4. Step 4: Simplify right side
    226,355x = 100,653,273,081
  5. Step 5: Solve for x
    x = 100,653,273,081/226,355
  6. Step 6: Final answer
    x = 444,669.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.