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Finding the Third Proportional to 229,298 and 330,272

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Solution

The third proportional to 229,298 and 330,272 is: 475,711.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,298 : 330,272 = 330,272 : x
  2. Step 2: Convert to fraction form
    229,298/330,272 = 330,272/x
  3. Step 3: Cross multiply
    229,298x = 330,272 × 330,272
  4. Step 4: Simplify right side
    229,298x = 109,079,593,984
  5. Step 5: Solve for x
    x = 109,079,593,984/229,298
  6. Step 6: Final answer
    x = 475,711.06

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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.