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Finding the Third Proportional to 194,755.78 and 291,355.03

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Solution

The third proportional to 194,755.78 and 291,355.03 is: 435,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,755.78 : 291,355.03 = 291,355.03 : x
  2. Step 2: Convert to fraction form
    194,755.78/291,355.03 = 291,355.03/x
  3. Step 3: Cross multiply
    194,755.78x = 291,355.03 × 291,355.03
  4. Step 4: Simplify right side
    194,755.78x = 84,887,754,234.69
  5. Step 5: Solve for x
    x = 84,887,754,234.69/194,755.78
  6. Step 6: Final answer
    x = 435,867.70

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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.