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Finding the Third Proportional to 229,311 and 330,294

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Solution

The third proportional to 229,311 and 330,294 is: 475,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,311 : 330,294 = 330,294 : x
  2. Step 2: Convert to fraction form
    229,311/330,294 = 330,294/x
  3. Step 3: Cross multiply
    229,311x = 330,294 × 330,294
  4. Step 4: Simplify right side
    229,311x = 109,094,126,436
  5. Step 5: Solve for x
    x = 109,094,126,436/229,311
  6. Step 6: Final answer
    x = 475,747.46

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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.