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Finding the Third Proportional to 169,887.50 and 204,025.50

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Solution

The third proportional to 169,887.50 and 204,025.50 is: 245,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,887.50 : 204,025.50 = 204,025.50 : x
  2. Step 2: Convert to fraction form
    169,887.50/204,025.50 = 204,025.50/x
  3. Step 3: Cross multiply
    169,887.50x = 204,025.50 × 204,025.50
  4. Step 4: Simplify right side
    169,887.50x = 41,626,404,650.25
  5. Step 5: Solve for x
    x = 41,626,404,650.25/169,887.50
  6. Step 6: Final answer
    x = 245,023.35

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.