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Finding the Third Proportional to 172,222 and 242,595

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Solution

The third proportional to 172,222 and 242,595 is: 341,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,222 : 242,595 = 242,595 : x
  2. Step 2: Convert to fraction form
    172,222/242,595 = 242,595/x
  3. Step 3: Cross multiply
    172,222x = 242,595 × 242,595
  4. Step 4: Simplify right side
    172,222x = 58,852,334,025
  5. Step 5: Solve for x
    x = 58,852,334,025/172,222
  6. Step 6: Final answer
    x = 341,723.67

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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.