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Finding the Third Proportional to 110,537.50 and 236,847.25

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Solution

The third proportional to 110,537.50 and 236,847.25 is: 507,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,537.50 : 236,847.25 = 236,847.25 : x
  2. Step 2: Convert to fraction form
    110,537.50/236,847.25 = 236,847.25/x
  3. Step 3: Cross multiply
    110,537.50x = 236,847.25 × 236,847.25
  4. Step 4: Simplify right side
    110,537.50x = 56,096,619,832.56
  5. Step 5: Solve for x
    x = 56,096,619,832.56/110,537.50
  6. Step 6: Final answer
    x = 507,489.49

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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.