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Finding the Third Proportional to 202,502 and 302,079

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Solution

The third proportional to 202,502 and 302,079 is: 450,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,502 : 302,079 = 302,079 : x
  2. Step 2: Convert to fraction form
    202,502/302,079 = 302,079/x
  3. Step 3: Cross multiply
    202,502x = 302,079 × 302,079
  4. Step 4: Simplify right side
    202,502x = 91,251,722,241
  5. Step 5: Solve for x
    x = 91,251,722,241/202,502
  6. Step 6: Final answer
    x = 450,621.34

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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.