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Finding the Third Proportional to 225,612 and 376,002

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Solution

The third proportional to 225,612 and 376,002 is: 626,640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,612 : 376,002 = 376,002 : x
  2. Step 2: Convert to fraction form
    225,612/376,002 = 376,002/x
  3. Step 3: Cross multiply
    225,612x = 376,002 × 376,002
  4. Step 4: Simplify right side
    225,612x = 141,377,504,004
  5. Step 5: Solve for x
    x = 141,377,504,004/225,612
  6. Step 6: Final answer
    x = 626,640.00

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.