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Finding the Third Proportional to 111,458 and 243,652

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Solution

The third proportional to 111,458 and 243,652 is: 532,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,458 : 243,652 = 243,652 : x
  2. Step 2: Convert to fraction form
    111,458/243,652 = 243,652/x
  3. Step 3: Cross multiply
    111,458x = 243,652 × 243,652
  4. Step 4: Simplify right side
    111,458x = 59,366,297,104
  5. Step 5: Solve for x
    x = 59,366,297,104/111,458
  6. Step 6: Final answer
    x = 532,633.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.