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Finding the Third Proportional to 111,959 and 236,557

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Solution

The third proportional to 111,959 and 236,557 is: 499,818.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,959 : 236,557 = 236,557 : x
  2. Step 2: Convert to fraction form
    111,959/236,557 = 236,557/x
  3. Step 3: Cross multiply
    111,959x = 236,557 × 236,557
  4. Step 4: Simplify right side
    111,959x = 55,959,214,249
  5. Step 5: Solve for x
    x = 55,959,214,249/111,959
  6. Step 6: Final answer
    x = 499,818.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.