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Finding the Third Proportional to 251,982.50 and 363,069.75

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Solution

The third proportional to 251,982.50 and 363,069.75 is: 523,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,982.50 : 363,069.75 = 363,069.75 : x
  2. Step 2: Convert to fraction form
    251,982.50/363,069.75 = 363,069.75/x
  3. Step 3: Cross multiply
    251,982.50x = 363,069.75 × 363,069.75
  4. Step 4: Simplify right side
    251,982.50x = 131,819,643,365.06
  5. Step 5: Solve for x
    x = 131,819,643,365.06/251,982.50
  6. Step 6: Final answer
    x = 523,130.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.