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Finding the Third Proportional to 193,409.25 and 295,672.50

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Solution

The third proportional to 193,409.25 and 295,672.50 is: 452,006.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,409.25 : 295,672.50 = 295,672.50 : x
  2. Step 2: Convert to fraction form
    193,409.25/295,672.50 = 295,672.50/x
  3. Step 3: Cross multiply
    193,409.25x = 295,672.50 × 295,672.50
  4. Step 4: Simplify right side
    193,409.25x = 87,422,227,256.25
  5. Step 5: Solve for x
    x = 87,422,227,256.25/193,409.25
  6. Step 6: Final answer
    x = 452,006.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.