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Finding the Third Proportional to 202,164.75 and 433,856.25

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Solution

The third proportional to 202,164.75 and 433,856.25 is: 931,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,164.75 : 433,856.25 = 433,856.25 : x
  2. Step 2: Convert to fraction form
    202,164.75/433,856.25 = 433,856.25/x
  3. Step 3: Cross multiply
    202,164.75x = 433,856.25 × 433,856.25
  4. Step 4: Simplify right side
    202,164.75x = 188,231,245,664.06
  5. Step 5: Solve for x
    x = 188,231,245,664.06/202,164.75
  6. Step 6: Final answer
    x = 931,078.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.