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Finding the Third Proportional to 193,325.25 and 424,474.50

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Solution

The third proportional to 193,325.25 and 424,474.50 is: 931,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,325.25 : 424,474.50 = 424,474.50 : x
  2. Step 2: Convert to fraction form
    193,325.25/424,474.50 = 424,474.50/x
  3. Step 3: Cross multiply
    193,325.25x = 424,474.50 × 424,474.50
  4. Step 4: Simplify right side
    193,325.25x = 180,178,601,150.25
  5. Step 5: Solve for x
    x = 180,178,601,150.25/193,325.25
  6. Step 6: Final answer
    x = 931,997.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.