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Finding the Third Proportional to 199,589 and 301,455

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Solution

The third proportional to 199,589 and 301,455 is: 455,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,589 : 301,455 = 301,455 : x
  2. Step 2: Convert to fraction form
    199,589/301,455 = 301,455/x
  3. Step 3: Cross multiply
    199,589x = 301,455 × 301,455
  4. Step 4: Simplify right side
    199,589x = 90,875,117,025
  5. Step 5: Solve for x
    x = 90,875,117,025/199,589
  6. Step 6: Final answer
    x = 455,311.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.