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Finding the Third Proportional to 148,032 and 323,328

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Solution

The third proportional to 148,032 and 323,328 is: 706,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,032 : 323,328 = 323,328 : x
  2. Step 2: Convert to fraction form
    148,032/323,328 = 323,328/x
  3. Step 3: Cross multiply
    148,032x = 323,328 × 323,328
  4. Step 4: Simplify right side
    148,032x = 104,540,995,584
  5. Step 5: Solve for x
    x = 104,540,995,584/148,032
  6. Step 6: Final answer
    x = 706,205.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.