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Finding the Third Proportional to 200,051 and 472,235

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Solution

The third proportional to 200,051 and 472,235 is: 1,114,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,051 : 472,235 = 472,235 : x
  2. Step 2: Convert to fraction form
    200,051/472,235 = 472,235/x
  3. Step 3: Cross multiply
    200,051x = 472,235 × 472,235
  4. Step 4: Simplify right side
    200,051x = 223,005,895,225
  5. Step 5: Solve for x
    x = 223,005,895,225/200,051
  6. Step 6: Final answer
    x = 1,114,745.22

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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.