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Finding the Third Proportional to 146,125 and 315,008

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Solution

The third proportional to 146,125 and 315,008 is: 679,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,125 : 315,008 = 315,008 : x
  2. Step 2: Convert to fraction form
    146,125/315,008 = 315,008/x
  3. Step 3: Cross multiply
    146,125x = 315,008 × 315,008
  4. Step 4: Simplify right side
    146,125x = 99,230,040,064
  5. Step 5: Solve for x
    x = 99,230,040,064/146,125
  6. Step 6: Final answer
    x = 679,076.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.