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Finding the Third Proportional to 199,112 and 433,220

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Solution

The third proportional to 199,112 and 433,220 is: 942,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,112 : 433,220 = 433,220 : x
  2. Step 2: Convert to fraction form
    199,112/433,220 = 433,220/x
  3. Step 3: Cross multiply
    199,112x = 433,220 × 433,220
  4. Step 4: Simplify right side
    199,112x = 187,679,568,400
  5. Step 5: Solve for x
    x = 187,679,568,400/199,112
  6. Step 6: Final answer
    x = 942,582.91

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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.