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Finding the Third Proportional to 111,329.44 and 262,543.78

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Solution

The third proportional to 111,329.44 and 262,543.78 is: 619,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,329.44 : 262,543.78 = 262,543.78 : x
  2. Step 2: Convert to fraction form
    111,329.44/262,543.78 = 262,543.78/x
  3. Step 3: Cross multiply
    111,329.44x = 262,543.78 × 262,543.78
  4. Step 4: Simplify right side
    111,329.44x = 68,929,237,073.05
  5. Step 5: Solve for x
    x = 68,929,237,073.05/111,329.44
  6. Step 6: Final answer
    x = 619,146.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.