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Finding the Third Proportional to 229,290 and 330,267

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Solution

The third proportional to 229,290 and 330,267 is: 475,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,290 : 330,267 = 330,267 : x
  2. Step 2: Convert to fraction form
    229,290/330,267 = 330,267/x
  3. Step 3: Cross multiply
    229,290x = 330,267 × 330,267
  4. Step 4: Simplify right side
    229,290x = 109,076,291,289
  5. Step 5: Solve for x
    x = 109,076,291,289/229,290
  6. Step 6: Final answer
    x = 475,713.25

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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.