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Finding the Third Proportional to 155,826 and 331,090

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Solution

The third proportional to 155,826 and 331,090 is: 703,480.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,826 : 331,090 = 331,090 : x
  2. Step 2: Convert to fraction form
    155,826/331,090 = 331,090/x
  3. Step 3: Cross multiply
    155,826x = 331,090 × 331,090
  4. Step 4: Simplify right side
    155,826x = 109,620,588,100
  5. Step 5: Solve for x
    x = 109,620,588,100/155,826
  6. Step 6: Final answer
    x = 703,480.73

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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.