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Finding the Third Proportional to 199,094 and 433,180

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Solution

The third proportional to 199,094 and 433,180 is: 942,494.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,094 : 433,180 = 433,180 : x
  2. Step 2: Convert to fraction form
    199,094/433,180 = 433,180/x
  3. Step 3: Cross multiply
    199,094x = 433,180 × 433,180
  4. Step 4: Simplify right side
    199,094x = 187,644,912,400
  5. Step 5: Solve for x
    x = 187,644,912,400/199,094
  6. Step 6: Final answer
    x = 942,494.06

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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.