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Finding the Third Proportional to 110,464 and 236,552

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Solution

The third proportional to 110,464 and 236,552 is: 506,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,464 : 236,552 = 236,552 : x
  2. Step 2: Convert to fraction form
    110,464/236,552 = 236,552/x
  3. Step 3: Cross multiply
    110,464x = 236,552 × 236,552
  4. Step 4: Simplify right side
    110,464x = 55,956,848,704
  5. Step 5: Solve for x
    x = 55,956,848,704/110,464
  6. Step 6: Final answer
    x = 506,561.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.