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Finding the Third Proportional to 205,236.28 and 307,034.30

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Solution

The third proportional to 205,236.28 and 307,034.30 is: 459,324.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,236.28 : 307,034.30 = 307,034.30 : x
  2. Step 2: Convert to fraction form
    205,236.28/307,034.30 = 307,034.30/x
  3. Step 3: Cross multiply
    205,236.28x = 307,034.30 × 307,034.30
  4. Step 4: Simplify right side
    205,236.28x = 94,270,059,457.53
  5. Step 5: Solve for x
    x = 94,270,059,457.53/205,236.28
  6. Step 6: Final answer
    x = 459,324.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.