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Finding the Third Proportional to 146,828 and 310,828

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Solution

The third proportional to 146,828 and 310,828 is: 658,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,828 : 310,828 = 310,828 : x
  2. Step 2: Convert to fraction form
    146,828/310,828 = 310,828/x
  3. Step 3: Cross multiply
    146,828x = 310,828 × 310,828
  4. Step 4: Simplify right side
    146,828x = 96,614,045,584
  5. Step 5: Solve for x
    x = 96,614,045,584/146,828
  6. Step 6: Final answer
    x = 658,008.32

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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.