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Finding the Third Proportional to 123,235.88 and 252,300.38

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Solution

The third proportional to 123,235.88 and 252,300.38 is: 516,533.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,235.88 : 252,300.38 = 252,300.38 : x
  2. Step 2: Convert to fraction form
    123,235.88/252,300.38 = 252,300.38/x
  3. Step 3: Cross multiply
    123,235.88x = 252,300.38 × 252,300.38
  4. Step 4: Simplify right side
    123,235.88x = 63,655,479,225.14
  5. Step 5: Solve for x
    x = 63,655,479,225.14/123,235.88
  6. Step 6: Final answer
    x = 516,533.67

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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.