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Finding the Third Proportional to 146,344 and 323,152

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Solution

The third proportional to 146,344 and 323,152 is: 713,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,344 : 323,152 = 323,152 : x
  2. Step 2: Convert to fraction form
    146,344/323,152 = 323,152/x
  3. Step 3: Cross multiply
    146,344x = 323,152 × 323,152
  4. Step 4: Simplify right side
    146,344x = 104,427,215,104
  5. Step 5: Solve for x
    x = 104,427,215,104/146,344
  6. Step 6: Final answer
    x = 713,573.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.