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Finding the Third Proportional to 148,819 and 351,236

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Solution

The third proportional to 148,819 and 351,236 is: 828,971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,819 : 351,236 = 351,236 : x
  2. Step 2: Convert to fraction form
    148,819/351,236 = 351,236/x
  3. Step 3: Cross multiply
    148,819x = 351,236 × 351,236
  4. Step 4: Simplify right side
    148,819x = 123,366,727,696
  5. Step 5: Solve for x
    x = 123,366,727,696/148,819
  6. Step 6: Final answer
    x = 828,971.62

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.