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Finding the Third Proportional to 207,103.50 and 445,898.25

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Solution

The third proportional to 207,103.50 and 445,898.25 is: 960,028.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,103.50 : 445,898.25 = 445,898.25 : x
  2. Step 2: Convert to fraction form
    207,103.50/445,898.25 = 445,898.25/x
  3. Step 3: Cross multiply
    207,103.50x = 445,898.25 × 445,898.25
  4. Step 4: Simplify right side
    207,103.50x = 198,825,249,353.06
  5. Step 5: Solve for x
    x = 198,825,249,353.06/207,103.50
  6. Step 6: Final answer
    x = 960,028.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.