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Finding the Third Proportional to 146,007 and 313,842

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Solution

The third proportional to 146,007 and 313,842 is: 674,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,007 : 313,842 = 313,842 : x
  2. Step 2: Convert to fraction form
    146,007/313,842 = 313,842/x
  3. Step 3: Cross multiply
    146,007x = 313,842 × 313,842
  4. Step 4: Simplify right side
    146,007x = 98,496,800,964
  5. Step 5: Solve for x
    x = 98,496,800,964/146,007
  6. Step 6: Final answer
    x = 674,603.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.