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Finding the Third Proportional to 156,063 and 368,179

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Solution

The third proportional to 156,063 and 368,179 is: 868,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,063 : 368,179 = 368,179 : x
  2. Step 2: Convert to fraction form
    156,063/368,179 = 368,179/x
  3. Step 3: Cross multiply
    156,063x = 368,179 × 368,179
  4. Step 4: Simplify right side
    156,063x = 135,555,776,041
  5. Step 5: Solve for x
    x = 135,555,776,041/156,063
  6. Step 6: Final answer
    x = 868,596.50

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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.