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Finding the Third Proportional to 111,023 and 240,766

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Solution

The third proportional to 111,023 and 240,766 is: 522,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,023 : 240,766 = 240,766 : x
  2. Step 2: Convert to fraction form
    111,023/240,766 = 240,766/x
  3. Step 3: Cross multiply
    111,023x = 240,766 × 240,766
  4. Step 4: Simplify right side
    111,023x = 57,968,266,756
  5. Step 5: Solve for x
    x = 57,968,266,756/111,023
  6. Step 6: Final answer
    x = 522,128.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.