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Finding the Third Proportional to 148,308 and 229,836

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Solution

The third proportional to 148,308 and 229,836 is: 356,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,308 : 229,836 = 229,836 : x
  2. Step 2: Convert to fraction form
    148,308/229,836 = 229,836/x
  3. Step 3: Cross multiply
    148,308x = 229,836 × 229,836
  4. Step 4: Simplify right side
    148,308x = 52,824,586,896
  5. Step 5: Solve for x
    x = 52,824,586,896/148,308
  6. Step 6: Final answer
    x = 356,181.64

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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.