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Finding the Third Proportional to 202,376 and 444,116

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Solution

The third proportional to 202,376 and 444,116 is: 974,616.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,376 : 444,116 = 444,116 : x
  2. Step 2: Convert to fraction form
    202,376/444,116 = 444,116/x
  3. Step 3: Cross multiply
    202,376x = 444,116 × 444,116
  4. Step 4: Simplify right side
    202,376x = 197,239,021,456
  5. Step 5: Solve for x
    x = 197,239,021,456/202,376
  6. Step 6: Final answer
    x = 974,616.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.