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Finding the Third Proportional to 161,193 and 242,401.50

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Solution

The third proportional to 161,193 and 242,401.50 is: 364,522.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,193 : 242,401.50 = 242,401.50 : x
  2. Step 2: Convert to fraction form
    161,193/242,401.50 = 242,401.50/x
  3. Step 3: Cross multiply
    161,193x = 242,401.50 × 242,401.50
  4. Step 4: Simplify right side
    161,193x = 58,758,487,202.25
  5. Step 5: Solve for x
    x = 58,758,487,202.25/161,193
  6. Step 6: Final answer
    x = 364,522.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.