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Finding the Third Proportional to 142,161 and 304,005

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Solution

The third proportional to 142,161 and 304,005 is: 650,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,161 : 304,005 = 304,005 : x
  2. Step 2: Convert to fraction form
    142,161/304,005 = 304,005/x
  3. Step 3: Cross multiply
    142,161x = 304,005 × 304,005
  4. Step 4: Simplify right side
    142,161x = 92,419,040,025
  5. Step 5: Solve for x
    x = 92,419,040,025/142,161
  6. Step 6: Final answer
    x = 650,101.22

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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.