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Finding the Third Proportional to 130,974 and 200,219

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Solution

The third proportional to 130,974 and 200,219 is: 306,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,974 : 200,219 = 200,219 : x
  2. Step 2: Convert to fraction form
    130,974/200,219 = 200,219/x
  3. Step 3: Cross multiply
    130,974x = 200,219 × 200,219
  4. Step 4: Simplify right side
    130,974x = 40,087,647,961
  5. Step 5: Solve for x
    x = 40,087,647,961/130,974
  6. Step 6: Final answer
    x = 306,073.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.