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Finding the Third Proportional to 150,964 and 319,908

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Solution

The third proportional to 150,964 and 319,908 is: 677,917.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,964 : 319,908 = 319,908 : x
  2. Step 2: Convert to fraction form
    150,964/319,908 = 319,908/x
  3. Step 3: Cross multiply
    150,964x = 319,908 × 319,908
  4. Step 4: Simplify right side
    150,964x = 102,341,128,464
  5. Step 5: Solve for x
    x = 102,341,128,464/150,964
  6. Step 6: Final answer
    x = 677,917.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.