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Finding the Third Proportional to 240,866 and 338,894

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Solution

The third proportional to 240,866 and 338,894 is: 476,817.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,866 : 338,894 = 338,894 : x
  2. Step 2: Convert to fraction form
    240,866/338,894 = 338,894/x
  3. Step 3: Cross multiply
    240,866x = 338,894 × 338,894
  4. Step 4: Simplify right side
    240,866x = 114,849,143,236
  5. Step 5: Solve for x
    x = 114,849,143,236/240,866
  6. Step 6: Final answer
    x = 476,817.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.