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Finding the Third Proportional to 202,479.75 and 302,079.38

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Solution

The third proportional to 202,479.75 and 302,079.38 is: 450,671.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,479.75 : 302,079.38 = 302,079.38 : x
  2. Step 2: Convert to fraction form
    202,479.75/302,079.38 = 302,079.38/x
  3. Step 3: Cross multiply
    202,479.75x = 302,079.38 × 302,079.38
  4. Step 4: Simplify right side
    202,479.75x = 91,251,948,800.39
  5. Step 5: Solve for x
    x = 91,251,948,800.39/202,479.75
  6. Step 6: Final answer
    x = 450,671.97

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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.