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Finding the Third Proportional to 111,977.44 and 173,402.44

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Solution

The third proportional to 111,977.44 and 173,402.44 is: 268,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,977.44 : 173,402.44 = 173,402.44 : x
  2. Step 2: Convert to fraction form
    111,977.44/173,402.44 = 173,402.44/x
  3. Step 3: Cross multiply
    111,977.44x = 173,402.44 × 173,402.44
  4. Step 4: Simplify right side
    111,977.44x = 30,068,405,330.94
  5. Step 5: Solve for x
    x = 30,068,405,330.94/111,977.44
  6. Step 6: Final answer
    x = 268,522.00

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Why These Related Problems?

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