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Finding the Third Proportional to 148,516 and 230,172

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Solution

The third proportional to 148,516 and 230,172 is: 356,723.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,516 : 230,172 = 230,172 : x
  2. Step 2: Convert to fraction form
    148,516/230,172 = 230,172/x
  3. Step 3: Cross multiply
    148,516x = 230,172 × 230,172
  4. Step 4: Simplify right side
    148,516x = 52,979,149,584
  5. Step 5: Solve for x
    x = 52,979,149,584/148,516
  6. Step 6: Final answer
    x = 356,723.52

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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.