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Finding the Third Proportional to 110,548 and 236,867

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Solution

The third proportional to 110,548 and 236,867 is: 507,525.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,548 : 236,867 = 236,867 : x
  2. Step 2: Convert to fraction form
    110,548/236,867 = 236,867/x
  3. Step 3: Cross multiply
    110,548x = 236,867 × 236,867
  4. Step 4: Simplify right side
    110,548x = 56,105,975,689
  5. Step 5: Solve for x
    x = 56,105,975,689/110,548
  6. Step 6: Final answer
    x = 507,525.92

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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.