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Finding the Third Proportional to 182,746.13 and 281,247.19

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Solution

The third proportional to 182,746.13 and 281,247.19 is: 432,840.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,746.13 : 281,247.19 = 281,247.19 : x
  2. Step 2: Convert to fraction form
    182,746.13/281,247.19 = 281,247.19/x
  3. Step 3: Cross multiply
    182,746.13x = 281,247.19 × 281,247.19
  4. Step 4: Simplify right side
    182,746.13x = 79,099,980,476.66
  5. Step 5: Solve for x
    x = 79,099,980,476.66/182,746.13
  6. Step 6: Final answer
    x = 432,840.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.