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Finding the Third Proportional to 172,162 and 242,014

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Solution

The third proportional to 172,162 and 242,014 is: 340,207.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,162 : 242,014 = 242,014 : x
  2. Step 2: Convert to fraction form
    172,162/242,014 = 242,014/x
  3. Step 3: Cross multiply
    172,162x = 242,014 × 242,014
  4. Step 4: Simplify right side
    172,162x = 58,570,776,196
  5. Step 5: Solve for x
    x = 58,570,776,196/172,162
  6. Step 6: Final answer
    x = 340,207.34

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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.