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Finding the Third Proportional to 170,020 and 371,144

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Solution

The third proportional to 170,020 and 371,144 is: 810,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,020 : 371,144 = 371,144 : x
  2. Step 2: Convert to fraction form
    170,020/371,144 = 371,144/x
  3. Step 3: Cross multiply
    170,020x = 371,144 × 371,144
  4. Step 4: Simplify right side
    170,020x = 137,747,868,736
  5. Step 5: Solve for x
    x = 137,747,868,736/170,020
  6. Step 6: Final answer
    x = 810,186.26

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