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Finding the Third Proportional to 202,336 and 302,116

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Solution

The third proportional to 202,336 and 302,116 is: 451,101.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,336 : 302,116 = 302,116 : x
  2. Step 2: Convert to fraction form
    202,336/302,116 = 302,116/x
  3. Step 3: Cross multiply
    202,336x = 302,116 × 302,116
  4. Step 4: Simplify right side
    202,336x = 91,274,077,456
  5. Step 5: Solve for x
    x = 91,274,077,456/202,336
  6. Step 6: Final answer
    x = 451,101.52

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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.