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Finding the Third Proportional to 156,966 and 240,057

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Solution

The third proportional to 156,966 and 240,057 is: 367,132.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,966 : 240,057 = 240,057 : x
  2. Step 2: Convert to fraction form
    156,966/240,057 = 240,057/x
  3. Step 3: Cross multiply
    156,966x = 240,057 × 240,057
  4. Step 4: Simplify right side
    156,966x = 57,627,363,249
  5. Step 5: Solve for x
    x = 57,627,363,249/156,966
  6. Step 6: Final answer
    x = 367,132.78

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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.