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Finding the Third Proportional to 199,855 and 428,199

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Solution

The third proportional to 199,855 and 428,199 is: 917,437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,855 : 428,199 = 428,199 : x
  2. Step 2: Convert to fraction form
    199,855/428,199 = 428,199/x
  3. Step 3: Cross multiply
    199,855x = 428,199 × 428,199
  4. Step 4: Simplify right side
    199,855x = 183,354,383,601
  5. Step 5: Solve for x
    x = 183,354,383,601/199,855
  6. Step 6: Final answer
    x = 917,437.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.