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Finding the Third Proportional to 200,475 and 232,227

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Solution

The third proportional to 200,475 and 232,227 is: 269,008.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,475 : 232,227 = 232,227 : x
  2. Step 2: Convert to fraction form
    200,475/232,227 = 232,227/x
  3. Step 3: Cross multiply
    200,475x = 232,227 × 232,227
  4. Step 4: Simplify right side
    200,475x = 53,929,379,529
  5. Step 5: Solve for x
    x = 53,929,379,529/200,475
  6. Step 6: Final answer
    x = 269,008.00

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.