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Finding the Third Proportional to 148,180 and 222,288

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Solution

The third proportional to 148,180 and 222,288 is: 333,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,180 : 222,288 = 222,288 : x
  2. Step 2: Convert to fraction form
    148,180/222,288 = 222,288/x
  3. Step 3: Cross multiply
    148,180x = 222,288 × 222,288
  4. Step 4: Simplify right side
    148,180x = 49,411,954,944
  5. Step 5: Solve for x
    x = 49,411,954,944/148,180
  6. Step 6: Final answer
    x = 333,459.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.