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Finding the Third Proportional to 155,884 and 336,092

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Solution

The third proportional to 155,884 and 336,092 is: 724,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,884 : 336,092 = 336,092 : x
  2. Step 2: Convert to fraction form
    155,884/336,092 = 336,092/x
  3. Step 3: Cross multiply
    155,884x = 336,092 × 336,092
  4. Step 4: Simplify right side
    155,884x = 112,957,832,464
  5. Step 5: Solve for x
    x = 112,957,832,464/155,884
  6. Step 6: Final answer
    x = 724,627.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.