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Finding the Third Proportional to 110,548 and 236,870

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Solution

The third proportional to 110,548 and 236,870 is: 507,538.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,548 : 236,870 = 236,870 : x
  2. Step 2: Convert to fraction form
    110,548/236,870 = 236,870/x
  3. Step 3: Cross multiply
    110,548x = 236,870 × 236,870
  4. Step 4: Simplify right side
    110,548x = 56,107,396,900
  5. Step 5: Solve for x
    x = 56,107,396,900/110,548
  6. Step 6: Final answer
    x = 507,538.78

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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.