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Finding the Third Proportional to 146,546 and 313,828

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Solution

The third proportional to 146,546 and 313,828 is: 672,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,546 : 313,828 = 313,828 : x
  2. Step 2: Convert to fraction form
    146,546/313,828 = 313,828/x
  3. Step 3: Cross multiply
    146,546x = 313,828 × 313,828
  4. Step 4: Simplify right side
    146,546x = 98,488,013,584
  5. Step 5: Solve for x
    x = 98,488,013,584/146,546
  6. Step 6: Final answer
    x = 672,062.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.