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Finding the Third Proportional to 148,248 and 326,736

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Solution

The third proportional to 148,248 and 326,736 is: 720,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,248 : 326,736 = 326,736 : x
  2. Step 2: Convert to fraction form
    148,248/326,736 = 326,736/x
  3. Step 3: Cross multiply
    148,248x = 326,736 × 326,736
  4. Step 4: Simplify right side
    148,248x = 106,756,413,696
  5. Step 5: Solve for x
    x = 106,756,413,696/148,248
  6. Step 6: Final answer
    x = 720,120.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.