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Finding the Third Proportional to 148,569 and 230,144

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Solution

The third proportional to 148,569 and 230,144 is: 356,509.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,569 : 230,144 = 230,144 : x
  2. Step 2: Convert to fraction form
    148,569/230,144 = 230,144/x
  3. Step 3: Cross multiply
    148,569x = 230,144 × 230,144
  4. Step 4: Simplify right side
    148,569x = 52,966,260,736
  5. Step 5: Solve for x
    x = 52,966,260,736/148,569
  6. Step 6: Final answer
    x = 356,509.51

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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.