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Finding the Third Proportional to 155,880 and 337,992

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Solution

The third proportional to 155,880 and 337,992 is: 732,862.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,880 : 337,992 = 337,992 : x
  2. Step 2: Convert to fraction form
    155,880/337,992 = 337,992/x
  3. Step 3: Cross multiply
    155,880x = 337,992 × 337,992
  4. Step 4: Simplify right side
    155,880x = 114,238,592,064
  5. Step 5: Solve for x
    x = 114,238,592,064/155,880
  6. Step 6: Final answer
    x = 732,862.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.