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Finding the Third Proportional to 200,025 and 472,179

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Solution

The third proportional to 200,025 and 472,179 is: 1,114,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,025 : 472,179 = 472,179 : x
  2. Step 2: Convert to fraction form
    200,025/472,179 = 472,179/x
  3. Step 3: Cross multiply
    200,025x = 472,179 × 472,179
  4. Step 4: Simplify right side
    200,025x = 222,953,008,041
  5. Step 5: Solve for x
    x = 222,953,008,041/200,025
  6. Step 6: Final answer
    x = 1,114,625.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.