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Finding the Third Proportional to 200,881.69 and 303,914.53

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Solution

The third proportional to 200,881.69 and 303,914.53 is: 459,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,881.69 : 303,914.53 = 303,914.53 : x
  2. Step 2: Convert to fraction form
    200,881.69/303,914.53 = 303,914.53/x
  3. Step 3: Cross multiply
    200,881.69x = 303,914.53 × 303,914.53
  4. Step 4: Simplify right side
    200,881.69x = 92,364,042,304.91
  5. Step 5: Solve for x
    x = 92,364,042,304.91/200,881.69
  6. Step 6: Final answer
    x = 459,793.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.