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Finding the Third Proportional to 202,298.91 and 302,062.92

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Solution

The third proportional to 202,298.91 and 302,062.92 is: 451,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,298.91 : 302,062.92 = 302,062.92 : x
  2. Step 2: Convert to fraction form
    202,298.91/302,062.92 = 302,062.92/x
  3. Step 3: Cross multiply
    202,298.91x = 302,062.92 × 302,062.92
  4. Step 4: Simplify right side
    202,298.91x = 91,242,008,771.66
  5. Step 5: Solve for x
    x = 91,242,008,771.66/202,298.91
  6. Step 6: Final answer
    x = 451,025.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.