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Finding the Third Proportional to 181,033.50 and 253,216

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Solution

The third proportional to 181,033.50 and 253,216 is: 354,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,033.50 : 253,216 = 253,216 : x
  2. Step 2: Convert to fraction form
    181,033.50/253,216 = 253,216/x
  3. Step 3: Cross multiply
    181,033.50x = 253,216 × 253,216
  4. Step 4: Simplify right side
    181,033.50x = 64,118,342,656
  5. Step 5: Solve for x
    x = 64,118,342,656/181,033.50
  6. Step 6: Final answer
    x = 354,179.43

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.