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Finding the Third Proportional to 170,018 and 371,140

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Solution

The third proportional to 170,018 and 371,140 is: 810,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,018 : 371,140 = 371,140 : x
  2. Step 2: Convert to fraction form
    170,018/371,140 = 371,140/x
  3. Step 3: Cross multiply
    170,018x = 371,140 × 371,140
  4. Step 4: Simplify right side
    170,018x = 137,744,899,600
  5. Step 5: Solve for x
    x = 137,744,899,600/170,018
  6. Step 6: Final answer
    x = 810,178.33

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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.