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Finding the Third Proportional to 146,029 and 323,758

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Solution

The third proportional to 146,029 and 323,758 is: 717,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,029 : 323,758 = 323,758 : x
  2. Step 2: Convert to fraction form
    146,029/323,758 = 323,758/x
  3. Step 3: Cross multiply
    146,029x = 323,758 × 323,758
  4. Step 4: Simplify right side
    146,029x = 104,819,242,564
  5. Step 5: Solve for x
    x = 104,819,242,564/146,029
  6. Step 6: Final answer
    x = 717,797.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.