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Finding the Third Proportional to 193,663.50 and 264,024.50

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Solution

The third proportional to 193,663.50 and 264,024.50 is: 359,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,663.50 : 264,024.50 = 264,024.50 : x
  2. Step 2: Convert to fraction form
    193,663.50/264,024.50 = 264,024.50/x
  3. Step 3: Cross multiply
    193,663.50x = 264,024.50 × 264,024.50
  4. Step 4: Simplify right side
    193,663.50x = 69,708,936,600.25
  5. Step 5: Solve for x
    x = 69,708,936,600.25/193,663.50
  6. Step 6: Final answer
    x = 359,948.76

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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.