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Finding the Third Proportional to 156,936 and 239,076

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Solution

The third proportional to 156,936 and 239,076 is: 364,207.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,936 : 239,076 = 239,076 : x
  2. Step 2: Convert to fraction form
    156,936/239,076 = 239,076/x
  3. Step 3: Cross multiply
    156,936x = 239,076 × 239,076
  4. Step 4: Simplify right side
    156,936x = 57,157,333,776
  5. Step 5: Solve for x
    x = 57,157,333,776/156,936
  6. Step 6: Final answer
    x = 364,207.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.