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Finding the Third Proportional to 156,921 and 201,481.50

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Solution

The third proportional to 156,921 and 201,481.50 is: 258,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,921 : 201,481.50 = 201,481.50 : x
  2. Step 2: Convert to fraction form
    156,921/201,481.50 = 201,481.50/x
  3. Step 3: Cross multiply
    156,921x = 201,481.50 × 201,481.50
  4. Step 4: Simplify right side
    156,921x = 40,594,794,842.25
  5. Step 5: Solve for x
    x = 40,594,794,842.25/156,921
  6. Step 6: Final answer
    x = 258,695.74

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.