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Finding the Third Proportional to 227,625.75 and 492,154.88

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Solution

The third proportional to 227,625.75 and 492,154.88 is: 1,064,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,625.75 : 492,154.88 = 492,154.88 : x
  2. Step 2: Convert to fraction form
    227,625.75/492,154.88 = 492,154.88/x
  3. Step 3: Cross multiply
    227,625.75x = 492,154.88 × 492,154.88
  4. Step 4: Simplify right side
    227,625.75x = 242,216,420,986.27
  5. Step 5: Solve for x
    x = 242,216,420,986.27/227,625.75
  6. Step 6: Final answer
    x = 1,064,099.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.