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Finding the Third Proportional to 111,953 and 236,541

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Solution

The third proportional to 111,953 and 236,541 is: 499,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,953 : 236,541 = 236,541 : x
  2. Step 2: Convert to fraction form
    111,953/236,541 = 236,541/x
  3. Step 3: Cross multiply
    111,953x = 236,541 × 236,541
  4. Step 4: Simplify right side
    111,953x = 55,951,644,681
  5. Step 5: Solve for x
    x = 55,951,644,681/111,953
  6. Step 6: Final answer
    x = 499,777.98

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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.