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Finding the Third Proportional to 202,971 and 309,244

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Solution

The third proportional to 202,971 and 309,244 is: 471,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,971 : 309,244 = 309,244 : x
  2. Step 2: Convert to fraction form
    202,971/309,244 = 309,244/x
  3. Step 3: Cross multiply
    202,971x = 309,244 × 309,244
  4. Step 4: Simplify right side
    202,971x = 95,631,851,536
  5. Step 5: Solve for x
    x = 95,631,851,536/202,971
  6. Step 6: Final answer
    x = 471,160.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.