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Finding the Third Proportional to 229,295 and 330,270

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Solution

The third proportional to 229,295 and 330,270 is: 475,711.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,295 : 330,270 = 330,270 : x
  2. Step 2: Convert to fraction form
    229,295/330,270 = 330,270/x
  3. Step 3: Cross multiply
    229,295x = 330,270 × 330,270
  4. Step 4: Simplify right side
    229,295x = 109,078,272,900
  5. Step 5: Solve for x
    x = 109,078,272,900/229,295
  6. Step 6: Final answer
    x = 475,711.52

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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.