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Finding the Third Proportional to 302,500 and 382,287

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Solution

The third proportional to 302,500 and 382,287 is: 483,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,500 : 382,287 = 382,287 : x
  2. Step 2: Convert to fraction form
    302,500/382,287 = 382,287/x
  3. Step 3: Cross multiply
    302,500x = 382,287 × 382,287
  4. Step 4: Simplify right side
    302,500x = 146,143,350,369
  5. Step 5: Solve for x
    x = 146,143,350,369/302,500
  6. Step 6: Final answer
    x = 483,118.51

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.