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Finding the Third Proportional to 200,918.63 and 303,960.94

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Solution

The third proportional to 200,918.63 and 303,960.94 is: 459,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,918.63 : 303,960.94 = 303,960.94 : x
  2. Step 2: Convert to fraction form
    200,918.63/303,960.94 = 303,960.94/x
  3. Step 3: Cross multiply
    200,918.63x = 303,960.94 × 303,960.94
  4. Step 4: Simplify right side
    200,918.63x = 92,392,251,525.88
  5. Step 5: Solve for x
    x = 92,392,251,525.88/200,918.63
  6. Step 6: Final answer
    x = 459,849.11

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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.