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Finding the Third Proportional to 175,508.25 and 342,268.50

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Solution

The third proportional to 175,508.25 and 342,268.50 is: 667,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,508.25 : 342,268.50 = 342,268.50 : x
  2. Step 2: Convert to fraction form
    175,508.25/342,268.50 = 342,268.50/x
  3. Step 3: Cross multiply
    175,508.25x = 342,268.50 × 342,268.50
  4. Step 4: Simplify right side
    175,508.25x = 117,147,726,092.25
  5. Step 5: Solve for x
    x = 117,147,726,092.25/175,508.25
  6. Step 6: Final answer
    x = 667,477.03

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.