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Finding the Third Proportional to 200,131.13 and 437,198.06

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Solution

The third proportional to 200,131.13 and 437,198.06 is: 955,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,131.13 : 437,198.06 = 437,198.06 : x
  2. Step 2: Convert to fraction form
    200,131.13/437,198.06 = 437,198.06/x
  3. Step 3: Cross multiply
    200,131.13x = 437,198.06 × 437,198.06
  4. Step 4: Simplify right side
    200,131.13x = 191,142,145,853.75
  5. Step 5: Solve for x
    x = 191,142,145,853.75/200,131.13
  6. Step 6: Final answer
    x = 955,084.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.