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Finding the Third Proportional to 156,928 and 240,102

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Solution

The third proportional to 156,928 and 240,102 is: 367,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,928 : 240,102 = 240,102 : x
  2. Step 2: Convert to fraction form
    156,928/240,102 = 240,102/x
  3. Step 3: Cross multiply
    156,928x = 240,102 × 240,102
  4. Step 4: Simplify right side
    156,928x = 57,648,970,404
  5. Step 5: Solve for x
    x = 57,648,970,404/156,928
  6. Step 6: Final answer
    x = 367,359.36

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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.