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Finding the Third Proportional to 193,670.50 and 264,035

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Solution

The third proportional to 193,670.50 and 264,035 is: 359,964.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,670.50 : 264,035 = 264,035 : x
  2. Step 2: Convert to fraction form
    193,670.50/264,035 = 264,035/x
  3. Step 3: Cross multiply
    193,670.50x = 264,035 × 264,035
  4. Step 4: Simplify right side
    193,670.50x = 69,714,481,225
  5. Step 5: Solve for x
    x = 69,714,481,225/193,670.50
  6. Step 6: Final answer
    x = 359,964.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.