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Finding the Third Proportional to 207,936 and 304,489

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Solution

The third proportional to 207,936 and 304,489 is: 445,875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,936 : 304,489 = 304,489 : x
  2. Step 2: Convert to fraction form
    207,936/304,489 = 304,489/x
  3. Step 3: Cross multiply
    207,936x = 304,489 × 304,489
  4. Step 4: Simplify right side
    207,936x = 92,713,551,121
  5. Step 5: Solve for x
    x = 92,713,551,121/207,936
  6. Step 6: Final answer
    x = 445,875.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.