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Finding the Third Proportional to 203,568.75 and 444,853.13

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Solution

The third proportional to 203,568.75 and 444,853.13 is: 972,125.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,568.75 : 444,853.13 = 444,853.13 : x
  2. Step 2: Convert to fraction form
    203,568.75/444,853.13 = 444,853.13/x
  3. Step 3: Cross multiply
    203,568.75x = 444,853.13 × 444,853.13
  4. Step 4: Simplify right side
    203,568.75x = 197,894,302,822.27
  5. Step 5: Solve for x
    x = 197,894,302,822.27/203,568.75
  6. Step 6: Final answer
    x = 972,125.16

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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.