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Finding the Third Proportional to 207,927 and 316,269

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Solution

The third proportional to 207,927 and 316,269 is: 481,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,927 : 316,269 = 316,269 : x
  2. Step 2: Convert to fraction form
    207,927/316,269 = 316,269/x
  3. Step 3: Cross multiply
    207,927x = 316,269 × 316,269
  4. Step 4: Simplify right side
    207,927x = 100,026,080,361
  5. Step 5: Solve for x
    x = 100,026,080,361/207,927
  6. Step 6: Final answer
    x = 481,063.45

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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.