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Finding the Third Proportional to 202,360.78 and 292,351.78

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Solution

The third proportional to 202,360.78 and 292,351.78 is: 422,362.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,360.78 : 292,351.78 = 292,351.78 : x
  2. Step 2: Convert to fraction form
    202,360.78/292,351.78 = 292,351.78/x
  3. Step 3: Cross multiply
    202,360.78x = 292,351.78 × 292,351.78
  4. Step 4: Simplify right side
    202,360.78x = 85,469,564,000.05
  5. Step 5: Solve for x
    x = 85,469,564,000.05/202,360.78
  6. Step 6: Final answer
    x = 422,362.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.