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Finding the Third Proportional to 159,048 and 337,032

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Solution

The third proportional to 159,048 and 337,032 is: 714,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,048 : 337,032 = 337,032 : x
  2. Step 2: Convert to fraction form
    159,048/337,032 = 337,032/x
  3. Step 3: Cross multiply
    159,048x = 337,032 × 337,032
  4. Step 4: Simplify right side
    159,048x = 113,590,569,024
  5. Step 5: Solve for x
    x = 113,590,569,024/159,048
  6. Step 6: Final answer
    x = 714,190.49

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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.