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Finding the Third Proportional to 111,512 and 240,520

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Solution

The third proportional to 111,512 and 240,520 is: 518,777.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,512 : 240,520 = 240,520 : x
  2. Step 2: Convert to fraction form
    111,512/240,520 = 240,520/x
  3. Step 3: Cross multiply
    111,512x = 240,520 × 240,520
  4. Step 4: Simplify right side
    111,512x = 57,849,870,400
  5. Step 5: Solve for x
    x = 57,849,870,400/111,512
  6. Step 6: Final answer
    x = 518,777.09

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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.