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Finding the Third Proportional to 227,340 and 352,977.75

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Solution

The third proportional to 227,340 and 352,977.75 is: 548,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,340 : 352,977.75 = 352,977.75 : x
  2. Step 2: Convert to fraction form
    227,340/352,977.75 = 352,977.75/x
  3. Step 3: Cross multiply
    227,340x = 352,977.75 × 352,977.75
  4. Step 4: Simplify right side
    227,340x = 124,593,291,995.06
  5. Step 5: Solve for x
    x = 124,593,291,995.06/227,340
  6. Step 6: Final answer
    x = 548,048.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.