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Finding the Third Proportional to 156,786 and 228,610

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Solution

The third proportional to 156,786 and 228,610 is: 333,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,786 : 228,610 = 228,610 : x
  2. Step 2: Convert to fraction form
    156,786/228,610 = 228,610/x
  3. Step 3: Cross multiply
    156,786x = 228,610 × 228,610
  4. Step 4: Simplify right side
    156,786x = 52,262,532,100
  5. Step 5: Solve for x
    x = 52,262,532,100/156,786
  6. Step 6: Final answer
    x = 333,336.73

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.