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Finding the Third Proportional to 200,036 and 303,943

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Solution

The third proportional to 200,036 and 303,943 is: 461,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,036 : 303,943 = 303,943 : x
  2. Step 2: Convert to fraction form
    200,036/303,943 = 303,943/x
  3. Step 3: Cross multiply
    200,036x = 303,943 × 303,943
  4. Step 4: Simplify right side
    200,036x = 92,381,347,249
  5. Step 5: Solve for x
    x = 92,381,347,249/200,036
  6. Step 6: Final answer
    x = 461,823.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.