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Finding the Third Proportional to 156,598.31 and 252,127.69

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Solution

The third proportional to 156,598.31 and 252,127.69 is: 405,932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,598.31 : 252,127.69 = 252,127.69 : x
  2. Step 2: Convert to fraction form
    156,598.31/252,127.69 = 252,127.69/x
  3. Step 3: Cross multiply
    156,598.31x = 252,127.69 × 252,127.69
  4. Step 4: Simplify right side
    156,598.31x = 63,568,370,804.10
  5. Step 5: Solve for x
    x = 63,568,370,804.10/156,598.31
  6. Step 6: Final answer
    x = 405,932.67

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.