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Finding the Third Proportional to 176,601.75 and 226,760.25

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Solution

The third proportional to 176,601.75 and 226,760.25 is: 291,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,601.75 : 226,760.25 = 226,760.25 : x
  2. Step 2: Convert to fraction form
    176,601.75/226,760.25 = 226,760.25/x
  3. Step 3: Cross multiply
    176,601.75x = 226,760.25 × 226,760.25
  4. Step 4: Simplify right side
    176,601.75x = 51,420,210,980.06
  5. Step 5: Solve for x
    x = 51,420,210,980.06/176,601.75
  6. Step 6: Final answer
    x = 291,164.79

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.