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Finding the Third Proportional to 171,017 and 371,235

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Solution

The third proportional to 171,017 and 371,235 is: 805,858.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,017 : 371,235 = 371,235 : x
  2. Step 2: Convert to fraction form
    171,017/371,235 = 371,235/x
  3. Step 3: Cross multiply
    171,017x = 371,235 × 371,235
  4. Step 4: Simplify right side
    171,017x = 137,815,425,225
  5. Step 5: Solve for x
    x = 137,815,425,225/171,017
  6. Step 6: Final answer
    x = 805,858.04

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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.