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Finding the Third Proportional to 146,532 and 300,828

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Solution

The third proportional to 146,532 and 300,828 is: 617,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,532 : 300,828 = 300,828 : x
  2. Step 2: Convert to fraction form
    146,532/300,828 = 300,828/x
  3. Step 3: Cross multiply
    146,532x = 300,828 × 300,828
  4. Step 4: Simplify right side
    146,532x = 90,497,485,584
  5. Step 5: Solve for x
    x = 90,497,485,584/146,532
  6. Step 6: Final answer
    x = 617,595.38

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.