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Finding the Third Proportional to 146,592 and 313,920

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Solution

The third proportional to 146,592 and 313,920 is: 672,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,592 : 313,920 = 313,920 : x
  2. Step 2: Convert to fraction form
    146,592/313,920 = 313,920/x
  3. Step 3: Cross multiply
    146,592x = 313,920 × 313,920
  4. Step 4: Simplify right side
    146,592x = 98,545,766,400
  5. Step 5: Solve for x
    x = 98,545,766,400/146,592
  6. Step 6: Final answer
    x = 672,245.19

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Why These Related Problems?

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