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Finding the Third Proportional to 207,860 and 304,006

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Solution

The third proportional to 207,860 and 304,006 is: 444,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,860 : 304,006 = 304,006 : x
  2. Step 2: Convert to fraction form
    207,860/304,006 = 304,006/x
  3. Step 3: Cross multiply
    207,860x = 304,006 × 304,006
  4. Step 4: Simplify right side
    207,860x = 92,419,648,036
  5. Step 5: Solve for x
    x = 92,419,648,036/207,860
  6. Step 6: Final answer
    x = 444,624.50

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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.