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Finding the Third Proportional to 156,916 and 239,478

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Solution

The third proportional to 156,916 and 239,478 is: 365,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,916 : 239,478 = 239,478 : x
  2. Step 2: Convert to fraction form
    156,916/239,478 = 239,478/x
  3. Step 3: Cross multiply
    156,916x = 239,478 × 239,478
  4. Step 4: Simplify right side
    156,916x = 57,349,712,484
  5. Step 5: Solve for x
    x = 57,349,712,484/156,916
  6. Step 6: Final answer
    x = 365,480.34

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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.