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Finding the Third Proportional to 148,819 and 351,233

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Solution

The third proportional to 148,819 and 351,233 is: 828,957.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,819 : 351,233 = 351,233 : x
  2. Step 2: Convert to fraction form
    148,819/351,233 = 351,233/x
  3. Step 3: Cross multiply
    148,819x = 351,233 × 351,233
  4. Step 4: Simplify right side
    148,819x = 123,364,620,289
  5. Step 5: Solve for x
    x = 123,364,620,289/148,819
  6. Step 6: Final answer
    x = 828,957.46

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Why These Related Problems?

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