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Finding the Third Proportional to 207,642 and 296,927

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Solution

The third proportional to 207,642 and 296,927 is: 424,604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,642 : 296,927 = 296,927 : x
  2. Step 2: Convert to fraction form
    207,642/296,927 = 296,927/x
  3. Step 3: Cross multiply
    207,642x = 296,927 × 296,927
  4. Step 4: Simplify right side
    207,642x = 88,165,643,329
  5. Step 5: Solve for x
    x = 88,165,643,329/207,642
  6. Step 6: Final answer
    x = 424,604.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.