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Finding the Third Proportional to 227,520.14 and 495,158.06

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Solution

The third proportional to 227,520.14 and 495,158.06 is: 1,077,625.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,520.14 : 495,158.06 = 495,158.06 : x
  2. Step 2: Convert to fraction form
    227,520.14/495,158.06 = 495,158.06/x
  3. Step 3: Cross multiply
    227,520.14x = 495,158.06 × 495,158.06
  4. Step 4: Simplify right side
    227,520.14x = 245,181,506,858.75
  5. Step 5: Solve for x
    x = 245,181,506,858.75/227,520.14
  6. Step 6: Final answer
    x = 1,077,625.51

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Why These Related Problems?

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