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Finding the Third Proportional to 170,037 and 371,158

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Solution

The third proportional to 170,037 and 371,158 is: 810,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,037 : 371,158 = 371,158 : x
  2. Step 2: Convert to fraction form
    170,037/371,158 = 371,158/x
  3. Step 3: Cross multiply
    170,037x = 371,158 × 371,158
  4. Step 4: Simplify right side
    170,037x = 137,758,260,964
  5. Step 5: Solve for x
    x = 137,758,260,964/170,037
  6. Step 6: Final answer
    x = 810,166.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.