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Finding the Third Proportional to 171,018 and 371,238

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Solution

The third proportional to 171,018 and 371,238 is: 805,866.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,018 : 371,238 = 371,238 : x
  2. Step 2: Convert to fraction form
    171,018/371,238 = 371,238/x
  3. Step 3: Cross multiply
    171,018x = 371,238 × 371,238
  4. Step 4: Simplify right side
    171,018x = 137,817,652,644
  5. Step 5: Solve for x
    x = 137,817,652,644/171,018
  6. Step 6: Final answer
    x = 805,866.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.