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Finding the Third Proportional to 173,632.50 and 352,093.50

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Solution

The third proportional to 173,632.50 and 352,093.50 is: 713,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,632.50 : 352,093.50 = 352,093.50 : x
  2. Step 2: Convert to fraction form
    173,632.50/352,093.50 = 352,093.50/x
  3. Step 3: Cross multiply
    173,632.50x = 352,093.50 × 352,093.50
  4. Step 4: Simplify right side
    173,632.50x = 123,969,832,742.25
  5. Step 5: Solve for x
    x = 123,969,832,742.25/173,632.50
  6. Step 6: Final answer
    x = 713,978.27

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.