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Finding the Third Proportional to 148,208 and 229,835

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Solution

The third proportional to 148,208 and 229,835 is: 356,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,208 : 229,835 = 229,835 : x
  2. Step 2: Convert to fraction form
    148,208/229,835 = 229,835/x
  3. Step 3: Cross multiply
    148,208x = 229,835 × 229,835
  4. Step 4: Simplify right side
    148,208x = 52,824,127,225
  5. Step 5: Solve for x
    x = 52,824,127,225/148,208
  6. Step 6: Final answer
    x = 356,418.87

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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.