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Finding the Third Proportional to 171,020 and 371,241

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Solution

The third proportional to 171,020 and 371,241 is: 805,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,020 : 371,241 = 371,241 : x
  2. Step 2: Convert to fraction form
    171,020/371,241 = 371,241/x
  3. Step 3: Cross multiply
    171,020x = 371,241 × 371,241
  4. Step 4: Simplify right side
    171,020x = 137,819,880,081
  5. Step 5: Solve for x
    x = 137,819,880,081/171,020
  6. Step 6: Final answer
    x = 805,869.96

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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.