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Finding the Third Proportional to 199,095.75 and 433,181.25

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Solution

The third proportional to 199,095.75 and 433,181.25 is: 942,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,095.75 : 433,181.25 = 433,181.25 : x
  2. Step 2: Convert to fraction form
    199,095.75/433,181.25 = 433,181.25/x
  3. Step 3: Cross multiply
    199,095.75x = 433,181.25 × 433,181.25
  4. Step 4: Simplify right side
    199,095.75x = 187,645,995,351.56
  5. Step 5: Solve for x
    x = 187,645,995,351.56/199,095.75
  6. Step 6: Final answer
    x = 942,491.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.