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Finding the Third Proportional to 202,496 and 302,103

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Solution

The third proportional to 202,496 and 302,103 is: 450,706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,496 : 302,103 = 302,103 : x
  2. Step 2: Convert to fraction form
    202,496/302,103 = 302,103/x
  3. Step 3: Cross multiply
    202,496x = 302,103 × 302,103
  4. Step 4: Simplify right side
    202,496x = 91,266,222,609
  5. Step 5: Solve for x
    x = 91,266,222,609/202,496
  6. Step 6: Final answer
    x = 450,706.30

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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.