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Finding the Third Proportional to 202,212.75 and 440,098.50

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Solution

The third proportional to 202,212.75 and 440,098.50 is: 957,836.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,212.75 : 440,098.50 = 440,098.50 : x
  2. Step 2: Convert to fraction form
    202,212.75/440,098.50 = 440,098.50/x
  3. Step 3: Cross multiply
    202,212.75x = 440,098.50 × 440,098.50
  4. Step 4: Simplify right side
    202,212.75x = 193,686,689,702.25
  5. Step 5: Solve for x
    x = 193,686,689,702.25/202,212.75
  6. Step 6: Final answer
    x = 957,836.19

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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.