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Finding the Third Proportional to 204,217 and 449,148

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Solution

The third proportional to 204,217 and 449,148 is: 987,841.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,217 : 449,148 = 449,148 : x
  2. Step 2: Convert to fraction form
    204,217/449,148 = 449,148/x
  3. Step 3: Cross multiply
    204,217x = 449,148 × 449,148
  4. Step 4: Simplify right side
    204,217x = 201,733,925,904
  5. Step 5: Solve for x
    x = 201,733,925,904/204,217
  6. Step 6: Final answer
    x = 987,841.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.