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Finding the Third Proportional to 156,000 and 241,944

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Solution

The third proportional to 156,000 and 241,944 is: 375,236.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,000 : 241,944 = 241,944 : x
  2. Step 2: Convert to fraction form
    156,000/241,944 = 241,944/x
  3. Step 3: Cross multiply
    156,000x = 241,944 × 241,944
  4. Step 4: Simplify right side
    156,000x = 58,536,899,136
  5. Step 5: Solve for x
    x = 58,536,899,136/156,000
  6. Step 6: Final answer
    x = 375,236.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.