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Finding the Third Proportional to 77,404 and 156,936

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Solution

The third proportional to 77,404 and 156,936 is: 318,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,404 : 156,936 = 156,936 : x
  2. Step 2: Convert to fraction form
    77,404/156,936 = 156,936/x
  3. Step 3: Cross multiply
    77,404x = 156,936 × 156,936
  4. Step 4: Simplify right side
    77,404x = 24,628,908,096
  5. Step 5: Solve for x
    x = 24,628,908,096/77,404
  6. Step 6: Final answer
    x = 318,186.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.