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Finding the Third Proportional to 172,157.06 and 242,006.06

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Solution

The third proportional to 172,157.06 and 242,006.06 is: 340,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,157.06 : 242,006.06 = 242,006.06 : x
  2. Step 2: Convert to fraction form
    172,157.06/242,006.06 = 242,006.06/x
  3. Step 3: Cross multiply
    172,157.06x = 242,006.06 × 242,006.06
  4. Step 4: Simplify right side
    172,157.06x = 58,566,934,286.75
  5. Step 5: Solve for x
    x = 58,566,934,286.75/172,157.06
  6. Step 6: Final answer
    x = 340,194.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.