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Finding the Third Proportional to 156,652 and 369,983

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Solution

The third proportional to 156,652 and 369,983 is: 873,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,652 : 369,983 = 369,983 : x
  2. Step 2: Convert to fraction form
    156,652/369,983 = 369,983/x
  3. Step 3: Cross multiply
    156,652x = 369,983 × 369,983
  4. Step 4: Simplify right side
    156,652x = 136,887,420,289
  5. Step 5: Solve for x
    x = 136,887,420,289/156,652
  6. Step 6: Final answer
    x = 873,831.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.