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Finding the Third Proportional to 160,032 and 339,792

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Solution

The third proportional to 160,032 and 339,792 is: 721,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,032 : 339,792 = 339,792 : x
  2. Step 2: Convert to fraction form
    160,032/339,792 = 339,792/x
  3. Step 3: Cross multiply
    160,032x = 339,792 × 339,792
  4. Step 4: Simplify right side
    160,032x = 115,458,603,264
  5. Step 5: Solve for x
    x = 115,458,603,264/160,032
  6. Step 6: Final answer
    x = 721,471.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.