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Finding the Third Proportional to 170,431.50 and 367,025.50

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Solution

The third proportional to 170,431.50 and 367,025.50 is: 790,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,431.50 : 367,025.50 = 367,025.50 : x
  2. Step 2: Convert to fraction form
    170,431.50/367,025.50 = 367,025.50/x
  3. Step 3: Cross multiply
    170,431.50x = 367,025.50 × 367,025.50
  4. Step 4: Simplify right side
    170,431.50x = 134,707,717,650.25
  5. Step 5: Solve for x
    x = 134,707,717,650.25/170,431.50
  6. Step 6: Final answer
    x = 790,392.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.