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Finding the Third Proportional to 148,434 and 230,214

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Solution

The third proportional to 148,434 and 230,214 is: 357,050.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,434 : 230,214 = 230,214 : x
  2. Step 2: Convert to fraction form
    148,434/230,214 = 230,214/x
  3. Step 3: Cross multiply
    148,434x = 230,214 × 230,214
  4. Step 4: Simplify right side
    148,434x = 52,998,485,796
  5. Step 5: Solve for x
    x = 52,998,485,796/148,434
  6. Step 6: Final answer
    x = 357,050.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.