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Finding the Third Proportional to 207,327 and 293,616

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Solution

The third proportional to 207,327 and 293,616 is: 415,818.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,327 : 293,616 = 293,616 : x
  2. Step 2: Convert to fraction form
    207,327/293,616 = 293,616/x
  3. Step 3: Cross multiply
    207,327x = 293,616 × 293,616
  4. Step 4: Simplify right side
    207,327x = 86,210,355,456
  5. Step 5: Solve for x
    x = 86,210,355,456/207,327
  6. Step 6: Final answer
    x = 415,818.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.