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Finding the Third Proportional to 200,016.75 and 437,394.75

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Solution

The third proportional to 200,016.75 and 437,394.75 is: 956,490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,016.75 : 437,394.75 = 437,394.75 : x
  2. Step 2: Convert to fraction form
    200,016.75/437,394.75 = 437,394.75/x
  3. Step 3: Cross multiply
    200,016.75x = 437,394.75 × 437,394.75
  4. Step 4: Simplify right side
    200,016.75x = 191,314,167,327.56
  5. Step 5: Solve for x
    x = 191,314,167,327.56/200,016.75
  6. Step 6: Final answer
    x = 956,490.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.