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Finding the Third Proportional to 153,108 and 337,968

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Solution

The third proportional to 153,108 and 337,968 is: 746,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,108 : 337,968 = 337,968 : x
  2. Step 2: Convert to fraction form
    153,108/337,968 = 337,968/x
  3. Step 3: Cross multiply
    153,108x = 337,968 × 337,968
  4. Step 4: Simplify right side
    153,108x = 114,222,369,024
  5. Step 5: Solve for x
    x = 114,222,369,024/153,108
  6. Step 6: Final answer
    x = 746,024.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.