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Finding the Third Proportional to 156,922 and 240,099

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Solution

The third proportional to 156,922 and 240,099 is: 367,364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,922 : 240,099 = 240,099 : x
  2. Step 2: Convert to fraction form
    156,922/240,099 = 240,099/x
  3. Step 3: Cross multiply
    156,922x = 240,099 × 240,099
  4. Step 4: Simplify right side
    156,922x = 57,647,529,801
  5. Step 5: Solve for x
    x = 57,647,529,801/156,922
  6. Step 6: Final answer
    x = 367,364.23

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.