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Finding the Third Proportional to 237,769.50 and 495,181.50

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Solution

The third proportional to 237,769.50 and 495,181.50 is: 1,031,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,769.50 : 495,181.50 = 495,181.50 : x
  2. Step 2: Convert to fraction form
    237,769.50/495,181.50 = 495,181.50/x
  3. Step 3: Cross multiply
    237,769.50x = 495,181.50 × 495,181.50
  4. Step 4: Simplify right side
    237,769.50x = 245,204,717,942.25
  5. Step 5: Solve for x
    x = 245,204,717,942.25/237,769.50
  6. Step 6: Final answer
    x = 1,031,270.70

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.