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Finding the Third Proportional to 204,007.50 and 444,312

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Solution

The third proportional to 204,007.50 and 444,312 is: 967,675.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,007.50 : 444,312 = 444,312 : x
  2. Step 2: Convert to fraction form
    204,007.50/444,312 = 444,312/x
  3. Step 3: Cross multiply
    204,007.50x = 444,312 × 444,312
  4. Step 4: Simplify right side
    204,007.50x = 197,413,153,344
  5. Step 5: Solve for x
    x = 197,413,153,344/204,007.50
  6. Step 6: Final answer
    x = 967,675.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.