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Finding the Third Proportional to 156,169.69 and 211,627.69

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Solution

The third proportional to 156,169.69 and 211,627.69 is: 286,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,169.69 : 211,627.69 = 211,627.69 : x
  2. Step 2: Convert to fraction form
    156,169.69/211,627.69 = 211,627.69/x
  3. Step 3: Cross multiply
    156,169.69x = 211,627.69 × 211,627.69
  4. Step 4: Simplify right side
    156,169.69x = 44,786,278,116.60
  5. Step 5: Solve for x
    x = 44,786,278,116.60/156,169.69
  6. Step 6: Final answer
    x = 286,779.58

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.