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Finding the Third Proportional to 202,883.06 and 433,908.56

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Solution

The third proportional to 202,883.06 and 433,908.56 is: 928,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,883.06 : 433,908.56 = 433,908.56 : x
  2. Step 2: Convert to fraction form
    202,883.06/433,908.56 = 433,908.56/x
  3. Step 3: Cross multiply
    202,883.06x = 433,908.56 × 433,908.56
  4. Step 4: Simplify right side
    202,883.06x = 188,276,640,610.82
  5. Step 5: Solve for x
    x = 188,276,640,610.82/202,883.06
  6. Step 6: Final answer
    x = 928,005.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.