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Finding the Third Proportional to 146,830 and 310,832

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Solution

The third proportional to 146,830 and 310,832 is: 658,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,830 : 310,832 = 310,832 : x
  2. Step 2: Convert to fraction form
    146,830/310,832 = 310,832/x
  3. Step 3: Cross multiply
    146,830x = 310,832 × 310,832
  4. Step 4: Simplify right side
    146,830x = 96,616,532,224
  5. Step 5: Solve for x
    x = 96,616,532,224/146,830
  6. Step 6: Final answer
    x = 658,016.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.