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Finding the Third Proportional to 135,457.50 and 210,942.75

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Solution

The third proportional to 135,457.50 and 210,942.75 is: 328,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,457.50 : 210,942.75 = 210,942.75 : x
  2. Step 2: Convert to fraction form
    135,457.50/210,942.75 = 210,942.75/x
  3. Step 3: Cross multiply
    135,457.50x = 210,942.75 × 210,942.75
  4. Step 4: Simplify right side
    135,457.50x = 44,496,843,777.56
  5. Step 5: Solve for x
    x = 44,496,843,777.56/135,457.50
  6. Step 6: Final answer
    x = 328,493.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.