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Finding the Third Proportional to 264,073.50 and 395,097.75

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Solution

The third proportional to 264,073.50 and 395,097.75 is: 591,131.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,073.50 : 395,097.75 = 395,097.75 : x
  2. Step 2: Convert to fraction form
    264,073.50/395,097.75 = 395,097.75/x
  3. Step 3: Cross multiply
    264,073.50x = 395,097.75 × 395,097.75
  4. Step 4: Simplify right side
    264,073.50x = 156,102,232,055.06
  5. Step 5: Solve for x
    x = 156,102,232,055.06/264,073.50
  6. Step 6: Final answer
    x = 591,131.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.