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Finding the Third Proportional to 111,701 and 240,894

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Solution

The third proportional to 111,701 and 240,894 is: 519,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,701 : 240,894 = 240,894 : x
  2. Step 2: Convert to fraction form
    111,701/240,894 = 240,894/x
  3. Step 3: Cross multiply
    111,701x = 240,894 × 240,894
  4. Step 4: Simplify right side
    111,701x = 58,029,919,236
  5. Step 5: Solve for x
    x = 58,029,919,236/111,701
  6. Step 6: Final answer
    x = 519,511.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.