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Finding the Third Proportional to 172,164 and 242,017

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Solution

The third proportional to 172,164 and 242,017 is: 340,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,164 : 242,017 = 242,017 : x
  2. Step 2: Convert to fraction form
    172,164/242,017 = 242,017/x
  3. Step 3: Cross multiply
    172,164x = 242,017 × 242,017
  4. Step 4: Simplify right side
    172,164x = 58,572,228,289
  5. Step 5: Solve for x
    x = 58,572,228,289/172,164
  6. Step 6: Final answer
    x = 340,211.82

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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.