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Finding the Third Proportional to 148,194 and 229,893.75

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Solution

The third proportional to 148,194 and 229,893.75 is: 356,634.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,194 : 229,893.75 = 229,893.75 : x
  2. Step 2: Convert to fraction form
    148,194/229,893.75 = 229,893.75/x
  3. Step 3: Cross multiply
    148,194x = 229,893.75 × 229,893.75
  4. Step 4: Simplify right side
    148,194x = 52,851,136,289.06
  5. Step 5: Solve for x
    x = 52,851,136,289.06/148,194
  6. Step 6: Final answer
    x = 356,634.79

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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.