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Finding the Third Proportional to 202,305 and 302,072

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Solution

The third proportional to 202,305 and 302,072 is: 451,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,305 : 302,072 = 302,072 : x
  2. Step 2: Convert to fraction form
    202,305/302,072 = 302,072/x
  3. Step 3: Cross multiply
    202,305x = 302,072 × 302,072
  4. Step 4: Simplify right side
    202,305x = 91,247,493,184
  5. Step 5: Solve for x
    x = 91,247,493,184/202,305
  6. Step 6: Final answer
    x = 451,039.24

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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.