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Finding the Third Proportional to 158,846.06 and 309,711.09

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Solution

The third proportional to 158,846.06 and 309,711.09 is: 603,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,846.06 : 309,711.09 = 309,711.09 : x
  2. Step 2: Convert to fraction form
    158,846.06/309,711.09 = 309,711.09/x
  3. Step 3: Cross multiply
    158,846.06x = 309,711.09 × 309,711.09
  4. Step 4: Simplify right side
    158,846.06x = 95,920,961,591.82
  5. Step 5: Solve for x
    x = 95,920,961,591.82/158,846.06
  6. Step 6: Final answer
    x = 603,861.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.