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Finding the Third Proportional to 202,462 and 302,578

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Solution

The third proportional to 202,462 and 302,578 is: 452,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,462 : 302,578 = 302,578 : x
  2. Step 2: Convert to fraction form
    202,462/302,578 = 302,578/x
  3. Step 3: Cross multiply
    202,462x = 302,578 × 302,578
  4. Step 4: Simplify right side
    202,462x = 91,553,446,084
  5. Step 5: Solve for x
    x = 91,553,446,084/202,462
  6. Step 6: Final answer
    x = 452,200.64

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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.