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Finding the Third Proportional to 156,936 and 240,110

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Solution

The third proportional to 156,936 and 240,110 is: 367,365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,936 : 240,110 = 240,110 : x
  2. Step 2: Convert to fraction form
    156,936/240,110 = 240,110/x
  3. Step 3: Cross multiply
    156,936x = 240,110 × 240,110
  4. Step 4: Simplify right side
    156,936x = 57,652,812,100
  5. Step 5: Solve for x
    x = 57,652,812,100/156,936
  6. Step 6: Final answer
    x = 367,365.12

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Why These Related Problems?

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