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Finding the Third Proportional to 170,982 and 370,942

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Solution

The third proportional to 170,982 and 370,942 is: 804,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,982 : 370,942 = 370,942 : x
  2. Step 2: Convert to fraction form
    170,982/370,942 = 370,942/x
  3. Step 3: Cross multiply
    170,982x = 370,942 × 370,942
  4. Step 4: Simplify right side
    170,982x = 137,597,967,364
  5. Step 5: Solve for x
    x = 137,597,967,364/170,982
  6. Step 6: Final answer
    x = 804,751.19

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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.