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Finding the Third Proportional to 142,162 and 304,008

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Solution

The third proportional to 142,162 and 304,008 is: 650,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,162 : 304,008 = 304,008 : x
  2. Step 2: Convert to fraction form
    142,162/304,008 = 304,008/x
  3. Step 3: Cross multiply
    142,162x = 304,008 × 304,008
  4. Step 4: Simplify right side
    142,162x = 92,420,864,064
  5. Step 5: Solve for x
    x = 92,420,864,064/142,162
  6. Step 6: Final answer
    x = 650,109.48

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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.