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Finding the Third Proportional to 230,400 and 329,472

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Solution

The third proportional to 230,400 and 329,472 is: 471,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,400 : 329,472 = 329,472 : x
  2. Step 2: Convert to fraction form
    230,400/329,472 = 329,472/x
  3. Step 3: Cross multiply
    230,400x = 329,472 × 329,472
  4. Step 4: Simplify right side
    230,400x = 108,551,798,784
  5. Step 5: Solve for x
    x = 108,551,798,784/230,400
  6. Step 6: Final answer
    x = 471,144.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.