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Finding the Third Proportional to 207,846 and 304,367

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Solution

The third proportional to 207,846 and 304,367 is: 445,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,846 : 304,367 = 304,367 : x
  2. Step 2: Convert to fraction form
    207,846/304,367 = 304,367/x
  3. Step 3: Cross multiply
    207,846x = 304,367 × 304,367
  4. Step 4: Simplify right side
    207,846x = 92,639,270,689
  5. Step 5: Solve for x
    x = 92,639,270,689/207,846
  6. Step 6: Final answer
    x = 445,711.11

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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.