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Finding the Third Proportional to 146,655 and 226,710

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Solution

The third proportional to 146,655 and 226,710 is: 350,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,655 : 226,710 = 226,710 : x
  2. Step 2: Convert to fraction form
    146,655/226,710 = 226,710/x
  3. Step 3: Cross multiply
    146,655x = 226,710 × 226,710
  4. Step 4: Simplify right side
    146,655x = 51,397,424,100
  5. Step 5: Solve for x
    x = 51,397,424,100/146,655
  6. Step 6: Final answer
    x = 350,464.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.