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Finding the Third Proportional to 123,231 and 252,289.50

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Solution

The third proportional to 123,231 and 252,289.50 is: 516,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,231 : 252,289.50 = 252,289.50 : x
  2. Step 2: Convert to fraction form
    123,231/252,289.50 = 252,289.50/x
  3. Step 3: Cross multiply
    123,231x = 252,289.50 × 252,289.50
  4. Step 4: Simplify right side
    123,231x = 63,649,991,810.25
  5. Step 5: Solve for x
    x = 63,649,991,810.25/123,231
  6. Step 6: Final answer
    x = 516,509.58

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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.