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Finding the Third Proportional to 110,567 and 236,910

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Solution

The third proportional to 110,567 and 236,910 is: 507,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,567 : 236,910 = 236,910 : x
  2. Step 2: Convert to fraction form
    110,567/236,910 = 236,910/x
  3. Step 3: Cross multiply
    110,567x = 236,910 × 236,910
  4. Step 4: Simplify right side
    110,567x = 56,126,348,100
  5. Step 5: Solve for x
    x = 56,126,348,100/110,567
  6. Step 6: Final answer
    x = 507,622.96

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