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Finding the Third Proportional to 199,116 and 433,228

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Solution

The third proportional to 199,116 and 433,228 is: 942,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,116 : 433,228 = 433,228 : x
  2. Step 2: Convert to fraction form
    199,116/433,228 = 433,228/x
  3. Step 3: Cross multiply
    199,116x = 433,228 × 433,228
  4. Step 4: Simplify right side
    199,116x = 187,686,499,984
  5. Step 5: Solve for x
    x = 187,686,499,984/199,116
  6. Step 6: Final answer
    x = 942,598.79

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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.