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Finding the Third Proportional to 170,961 and 372,023.50

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Solution

The third proportional to 170,961 and 372,023.50 is: 809,550.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,961 : 372,023.50 = 372,023.50 : x
  2. Step 2: Convert to fraction form
    170,961/372,023.50 = 372,023.50/x
  3. Step 3: Cross multiply
    170,961x = 372,023.50 × 372,023.50
  4. Step 4: Simplify right side
    170,961x = 138,401,484,552.25
  5. Step 5: Solve for x
    x = 138,401,484,552.25/170,961
  6. Step 6: Final answer
    x = 809,550.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.