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Finding the Third Proportional to 207,242 and 304,059

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Solution

The third proportional to 207,242 and 304,059 is: 446,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,242 : 304,059 = 304,059 : x
  2. Step 2: Convert to fraction form
    207,242/304,059 = 304,059/x
  3. Step 3: Cross multiply
    207,242x = 304,059 × 304,059
  4. Step 4: Simplify right side
    207,242x = 92,451,875,481
  5. Step 5: Solve for x
    x = 92,451,875,481/207,242
  6. Step 6: Final answer
    x = 446,105.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.