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Finding the Third Proportional to 146,452 and 319,760

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Solution

The third proportional to 146,452 and 319,760 is: 698,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,452 : 319,760 = 319,760 : x
  2. Step 2: Convert to fraction form
    146,452/319,760 = 319,760/x
  3. Step 3: Cross multiply
    146,452x = 319,760 × 319,760
  4. Step 4: Simplify right side
    146,452x = 102,246,457,600
  5. Step 5: Solve for x
    x = 102,246,457,600/146,452
  6. Step 6: Final answer
    x = 698,156.79

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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.