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Finding the Third Proportional to 146,506 and 222,568

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Solution

The third proportional to 146,506 and 222,568 is: 338,119.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,506 : 222,568 = 222,568 : x
  2. Step 2: Convert to fraction form
    146,506/222,568 = 222,568/x
  3. Step 3: Cross multiply
    146,506x = 222,568 × 222,568
  4. Step 4: Simplify right side
    146,506x = 49,536,514,624
  5. Step 5: Solve for x
    x = 49,536,514,624/146,506
  6. Step 6: Final answer
    x = 338,119.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.