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Finding the Third Proportional to 179,391.38 and 277,592.06

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Solution

The third proportional to 179,391.38 and 277,592.06 is: 429,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,391.38 : 277,592.06 = 277,592.06 : x
  2. Step 2: Convert to fraction form
    179,391.38/277,592.06 = 277,592.06/x
  3. Step 3: Cross multiply
    179,391.38x = 277,592.06 × 277,592.06
  4. Step 4: Simplify right side
    179,391.38x = 77,057,353,163.00
  5. Step 5: Solve for x
    x = 77,057,353,163.00/179,391.38
  6. Step 6: Final answer
    x = 429,548.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.