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Finding the Third Proportional to 229,304 and 330,281

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Solution

The third proportional to 229,304 and 330,281 is: 475,724.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,304 : 330,281 = 330,281 : x
  2. Step 2: Convert to fraction form
    229,304/330,281 = 330,281/x
  3. Step 3: Cross multiply
    229,304x = 330,281 × 330,281
  4. Step 4: Simplify right side
    229,304x = 109,085,538,961
  5. Step 5: Solve for x
    x = 109,085,538,961/229,304
  6. Step 6: Final answer
    x = 475,724.54

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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.