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Finding the Third Proportional to 207,398.25 and 444,172.50

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Solution

The third proportional to 207,398.25 and 444,172.50 is: 951,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,398.25 : 444,172.50 = 444,172.50 : x
  2. Step 2: Convert to fraction form
    207,398.25/444,172.50 = 444,172.50/x
  3. Step 3: Cross multiply
    207,398.25x = 444,172.50 × 444,172.50
  4. Step 4: Simplify right side
    207,398.25x = 197,289,209,756.25
  5. Step 5: Solve for x
    x = 197,289,209,756.25/207,398.25
  6. Step 6: Final answer
    x = 951,257.83

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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.