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Finding the Third Proportional to 193,675.50 and 264,042.50

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Solution

The third proportional to 193,675.50 and 264,042.50 is: 359,975.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,675.50 : 264,042.50 = 264,042.50 : x
  2. Step 2: Convert to fraction form
    193,675.50/264,042.50 = 264,042.50/x
  3. Step 3: Cross multiply
    193,675.50x = 264,042.50 × 264,042.50
  4. Step 4: Simplify right side
    193,675.50x = 69,718,441,806.25
  5. Step 5: Solve for x
    x = 69,718,441,806.25/193,675.50
  6. Step 6: Final answer
    x = 359,975.54

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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.