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Finding the Third Proportional to 111,717 and 240,929

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Solution

The third proportional to 111,717 and 240,929 is: 519,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,717 : 240,929 = 240,929 : x
  2. Step 2: Convert to fraction form
    111,717/240,929 = 240,929/x
  3. Step 3: Cross multiply
    111,717x = 240,929 × 240,929
  4. Step 4: Simplify right side
    111,717x = 58,046,783,041
  5. Step 5: Solve for x
    x = 58,046,783,041/111,717
  6. Step 6: Final answer
    x = 519,587.74

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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.