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Finding the Third Proportional to 229,307 and 330,288

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Solution

The third proportional to 229,307 and 330,288 is: 475,738.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,307 : 330,288 = 330,288 : x
  2. Step 2: Convert to fraction form
    229,307/330,288 = 330,288/x
  3. Step 3: Cross multiply
    229,307x = 330,288 × 330,288
  4. Step 4: Simplify right side
    229,307x = 109,090,162,944
  5. Step 5: Solve for x
    x = 109,090,162,944/229,307
  6. Step 6: Final answer
    x = 475,738.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.