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Finding the Third Proportional to 156,728 and 236,549

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Solution

The third proportional to 156,728 and 236,549 is: 357,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,728 : 236,549 = 236,549 : x
  2. Step 2: Convert to fraction form
    156,728/236,549 = 236,549/x
  3. Step 3: Cross multiply
    156,728x = 236,549 × 236,549
  4. Step 4: Simplify right side
    156,728x = 55,955,429,401
  5. Step 5: Solve for x
    x = 55,955,429,401/156,728
  6. Step 6: Final answer
    x = 357,022.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.