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Finding the Third Proportional to 151,913 and 327,199

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Solution

The third proportional to 151,913 and 327,199 is: 704,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,913 : 327,199 = 327,199 : x
  2. Step 2: Convert to fraction form
    151,913/327,199 = 327,199/x
  3. Step 3: Cross multiply
    151,913x = 327,199 × 327,199
  4. Step 4: Simplify right side
    151,913x = 107,059,185,601
  5. Step 5: Solve for x
    x = 107,059,185,601/151,913
  6. Step 6: Final answer
    x = 704,740.12

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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.