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Finding the Third Proportional to 110,540 and 236,852

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Solution

The third proportional to 110,540 and 236,852 is: 507,498.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,540 : 236,852 = 236,852 : x
  2. Step 2: Convert to fraction form
    110,540/236,852 = 236,852/x
  3. Step 3: Cross multiply
    110,540x = 236,852 × 236,852
  4. Step 4: Simplify right side
    110,540x = 56,098,869,904
  5. Step 5: Solve for x
    x = 56,098,869,904/110,540
  6. Step 6: Final answer
    x = 507,498.37

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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.