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Finding the Third Proportional to 202,863.75 and 315,776.25

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Solution

The third proportional to 202,863.75 and 315,776.25 is: 491,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,863.75 : 315,776.25 = 315,776.25 : x
  2. Step 2: Convert to fraction form
    202,863.75/315,776.25 = 315,776.25/x
  3. Step 3: Cross multiply
    202,863.75x = 315,776.25 × 315,776.25
  4. Step 4: Simplify right side
    202,863.75x = 99,714,640,064.06
  5. Step 5: Solve for x
    x = 99,714,640,064.06/202,863.75
  6. Step 6: Final answer
    x = 491,535.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.