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Finding the Third Proportional to 207,144 and 443,788

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Solution

The third proportional to 207,144 and 443,788 is: 950,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,144 : 443,788 = 443,788 : x
  2. Step 2: Convert to fraction form
    207,144/443,788 = 443,788/x
  3. Step 3: Cross multiply
    207,144x = 443,788 × 443,788
  4. Step 4: Simplify right side
    207,144x = 196,947,788,944
  5. Step 5: Solve for x
    x = 196,947,788,944/207,144
  6. Step 6: Final answer
    x = 950,777.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.