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Finding the Third Proportional to 111,220.59 and 262,437.47

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Solution

The third proportional to 111,220.59 and 262,437.47 is: 619,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,220.59 : 262,437.47 = 262,437.47 : x
  2. Step 2: Convert to fraction form
    111,220.59/262,437.47 = 262,437.47/x
  3. Step 3: Cross multiply
    111,220.59x = 262,437.47 × 262,437.47
  4. Step 4: Simplify right side
    111,220.59x = 68,873,425,003.91
  5. Step 5: Solve for x
    x = 68,873,425,003.91/111,220.59
  6. Step 6: Final answer
    x = 619,250.65

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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.