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Finding the Third Proportional to 232,861.50 and 364,515.75

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Solution

The third proportional to 232,861.50 and 364,515.75 is: 570,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,861.50 : 364,515.75 = 364,515.75 : x
  2. Step 2: Convert to fraction form
    232,861.50/364,515.75 = 364,515.75/x
  3. Step 3: Cross multiply
    232,861.50x = 364,515.75 × 364,515.75
  4. Step 4: Simplify right side
    232,861.50x = 132,871,731,998.06
  5. Step 5: Solve for x
    x = 132,871,731,998.06/232,861.50
  6. Step 6: Final answer
    x = 570,604.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.