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Finding the Third Proportional to 206,971 and 303,643

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Solution

The third proportional to 206,971 and 303,643 is: 445,468.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,971 : 303,643 = 303,643 : x
  2. Step 2: Convert to fraction form
    206,971/303,643 = 303,643/x
  3. Step 3: Cross multiply
    206,971x = 303,643 × 303,643
  4. Step 4: Simplify right side
    206,971x = 92,199,071,449
  5. Step 5: Solve for x
    x = 92,199,071,449/206,971
  6. Step 6: Final answer
    x = 445,468.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.