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Finding the Third Proportional to 106,974 and 230,040

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Solution

The third proportional to 106,974 and 230,040 is: 494,684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,974 : 230,040 = 230,040 : x
  2. Step 2: Convert to fraction form
    106,974/230,040 = 230,040/x
  3. Step 3: Cross multiply
    106,974x = 230,040 × 230,040
  4. Step 4: Simplify right side
    106,974x = 52,918,401,600
  5. Step 5: Solve for x
    x = 52,918,401,600/106,974
  6. Step 6: Final answer
    x = 494,684.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.