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Finding the Third Proportional to 168,777 and 359,059.50

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Solution

The third proportional to 168,777 and 359,059.50 is: 763,870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,777 : 359,059.50 = 359,059.50 : x
  2. Step 2: Convert to fraction form
    168,777/359,059.50 = 359,059.50/x
  3. Step 3: Cross multiply
    168,777x = 359,059.50 × 359,059.50
  4. Step 4: Simplify right side
    168,777x = 128,923,724,540.25
  5. Step 5: Solve for x
    x = 128,923,724,540.25/168,777
  6. Step 6: Final answer
    x = 763,870.22

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.