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Finding the Third Proportional to 227,134.13 and 330,129

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Solution

The third proportional to 227,134.13 and 330,129 is: 479,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,134.13 : 330,129 = 330,129 : x
  2. Step 2: Convert to fraction form
    227,134.13/330,129 = 330,129/x
  3. Step 3: Cross multiply
    227,134.13x = 330,129 × 330,129
  4. Step 4: Simplify right side
    227,134.13x = 108,985,156,641
  5. Step 5: Solve for x
    x = 108,985,156,641/227,134.13
  6. Step 6: Final answer
    x = 479,827.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.