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Finding the Third Proportional to 123,236 and 252,299.50

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Solution

The third proportional to 123,236 and 252,299.50 is: 516,529.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,236 : 252,299.50 = 252,299.50 : x
  2. Step 2: Convert to fraction form
    123,236/252,299.50 = 252,299.50/x
  3. Step 3: Cross multiply
    123,236x = 252,299.50 × 252,299.50
  4. Step 4: Simplify right side
    123,236x = 63,655,037,700.25
  5. Step 5: Solve for x
    x = 63,655,037,700.25/123,236
  6. Step 6: Final answer
    x = 516,529.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.