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Finding the Third Proportional to 179,474.48 and 277,866.70

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Solution

The third proportional to 179,474.48 and 277,866.70 is: 430,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,474.48 : 277,866.70 = 277,866.70 : x
  2. Step 2: Convert to fraction form
    179,474.48/277,866.70 = 277,866.70/x
  3. Step 3: Cross multiply
    179,474.48x = 277,866.70 × 277,866.70
  4. Step 4: Simplify right side
    179,474.48x = 77,209,904,705.56
  5. Step 5: Solve for x
    x = 77,209,904,705.56/179,474.48
  6. Step 6: Final answer
    x = 430,199.90

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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.