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Finding the Third Proportional to 113,794.88 and 180,840.94

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Solution

The third proportional to 113,794.88 and 180,840.94 is: 287,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,794.88 : 180,840.94 = 180,840.94 : x
  2. Step 2: Convert to fraction form
    113,794.88/180,840.94 = 180,840.94/x
  3. Step 3: Cross multiply
    113,794.88x = 180,840.94 × 180,840.94
  4. Step 4: Simplify right side
    113,794.88x = 32,703,444,675.88
  5. Step 5: Solve for x
    x = 32,703,444,675.88/113,794.88
  6. Step 6: Final answer
    x = 287,389.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.