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Finding the Third Proportional to 251,983.50 and 363,071.25

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Solution

The third proportional to 251,983.50 and 363,071.25 is: 523,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,983.50 : 363,071.25 = 363,071.25 : x
  2. Step 2: Convert to fraction form
    251,983.50/363,071.25 = 363,071.25/x
  3. Step 3: Cross multiply
    251,983.50x = 363,071.25 × 363,071.25
  4. Step 4: Simplify right side
    251,983.50x = 131,820,732,576.56
  5. Step 5: Solve for x
    x = 131,820,732,576.56/251,983.50
  6. Step 6: Final answer
    x = 523,132.40

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