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Finding the Third Proportional to 148,800 and 330,706

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Solution

The third proportional to 148,800 and 330,706 is: 734,989.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,800 : 330,706 = 330,706 : x
  2. Step 2: Convert to fraction form
    148,800/330,706 = 330,706/x
  3. Step 3: Cross multiply
    148,800x = 330,706 × 330,706
  4. Step 4: Simplify right side
    148,800x = 109,366,458,436
  5. Step 5: Solve for x
    x = 109,366,458,436/148,800
  6. Step 6: Final answer
    x = 734,989.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.