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Finding the Third Proportional to 227,406.50 and 495,161.50

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Solution

The third proportional to 227,406.50 and 495,161.50 is: 1,078,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,406.50 : 495,161.50 = 495,161.50 : x
  2. Step 2: Convert to fraction form
    227,406.50/495,161.50 = 495,161.50/x
  3. Step 3: Cross multiply
    227,406.50x = 495,161.50 × 495,161.50
  4. Step 4: Simplify right side
    227,406.50x = 245,184,911,082.25
  5. Step 5: Solve for x
    x = 245,184,911,082.25/227,406.50
  6. Step 6: Final answer
    x = 1,078,178.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.