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Finding the Third Proportional to 193,673 and 264,037.50

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Solution

The third proportional to 193,673 and 264,037.50 is: 359,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,673 : 264,037.50 = 264,037.50 : x
  2. Step 2: Convert to fraction form
    193,673/264,037.50 = 264,037.50/x
  3. Step 3: Cross multiply
    193,673x = 264,037.50 × 264,037.50
  4. Step 4: Simplify right side
    193,673x = 69,715,801,406.25
  5. Step 5: Solve for x
    x = 69,715,801,406.25/193,673
  6. Step 6: Final answer
    x = 359,966.55

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