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Finding the Third Proportional to 148,025.25 and 229,111.31

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Solution

The third proportional to 148,025.25 and 229,111.31 is: 354,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,025.25 : 229,111.31 = 229,111.31 : x
  2. Step 2: Convert to fraction form
    148,025.25/229,111.31 = 229,111.31/x
  3. Step 3: Cross multiply
    148,025.25x = 229,111.31 × 229,111.31
  4. Step 4: Simplify right side
    148,025.25x = 52,491,993,515.47
  5. Step 5: Solve for x
    x = 52,491,993,515.47/148,025.25
  6. Step 6: Final answer
    x = 354,615.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.