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Finding the Third Proportional to 199,186 and 428,580

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Solution

The third proportional to 199,186 and 428,580 is: 922,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,186 : 428,580 = 428,580 : x
  2. Step 2: Convert to fraction form
    199,186/428,580 = 428,580/x
  3. Step 3: Cross multiply
    199,186x = 428,580 × 428,580
  4. Step 4: Simplify right side
    199,186x = 183,680,816,400
  5. Step 5: Solve for x
    x = 183,680,816,400/199,186
  6. Step 6: Final answer
    x = 922,157.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.