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Finding the Third Proportional to 146,226 and 318,896

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Solution

The third proportional to 146,226 and 318,896 is: 695,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,226 : 318,896 = 318,896 : x
  2. Step 2: Convert to fraction form
    146,226/318,896 = 318,896/x
  3. Step 3: Cross multiply
    146,226x = 318,896 × 318,896
  4. Step 4: Simplify right side
    146,226x = 101,694,658,816
  5. Step 5: Solve for x
    x = 101,694,658,816/146,226
  6. Step 6: Final answer
    x = 695,462.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.