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Finding the Third Proportional to 199,293.75 and 302,631.19

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Solution

The third proportional to 199,293.75 and 302,631.19 is: 459,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,293.75 : 302,631.19 = 302,631.19 : x
  2. Step 2: Convert to fraction form
    199,293.75/302,631.19 = 302,631.19/x
  3. Step 3: Cross multiply
    199,293.75x = 302,631.19 × 302,631.19
  4. Step 4: Simplify right side
    199,293.75x = 91,585,635,647.66
  5. Step 5: Solve for x
    x = 91,585,635,647.66/199,293.75
  6. Step 6: Final answer
    x = 459,550.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.