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Finding the Third Proportional to 69,792 and 153,408

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Solution

The third proportional to 69,792 and 153,408 is: 337,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,792 : 153,408 = 153,408 : x
  2. Step 2: Convert to fraction form
    69,792/153,408 = 153,408/x
  3. Step 3: Cross multiply
    69,792x = 153,408 × 153,408
  4. Step 4: Simplify right side
    69,792x = 23,534,014,464
  5. Step 5: Solve for x
    x = 23,534,014,464/69,792
  6. Step 6: Final answer
    x = 337,202.18

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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.