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Finding the Third Proportional to 131,191.50 and 242,670

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Solution

The third proportional to 131,191.50 and 242,670 is: 448,876.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,191.50 : 242,670 = 242,670 : x
  2. Step 2: Convert to fraction form
    131,191.50/242,670 = 242,670/x
  3. Step 3: Cross multiply
    131,191.50x = 242,670 × 242,670
  4. Step 4: Simplify right side
    131,191.50x = 58,888,728,900
  5. Step 5: Solve for x
    x = 58,888,728,900/131,191.50
  6. Step 6: Final answer
    x = 448,876.10

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.