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Finding the Third Proportional to 197,045.44 and 409,817.06

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Solution

The third proportional to 197,045.44 and 409,817.06 is: 852,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,045.44 : 409,817.06 = 409,817.06 : x
  2. Step 2: Convert to fraction form
    197,045.44/409,817.06 = 409,817.06/x
  3. Step 3: Cross multiply
    197,045.44x = 409,817.06 × 409,817.06
  4. Step 4: Simplify right side
    197,045.44x = 167,950,024,716.13
  5. Step 5: Solve for x
    x = 167,950,024,716.13/197,045.44
  6. Step 6: Final answer
    x = 852,341.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.