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Finding the Third Proportional to 146,059 and 319,151

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Solution

The third proportional to 146,059 and 319,151 is: 697,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,059 : 319,151 = 319,151 : x
  2. Step 2: Convert to fraction form
    146,059/319,151 = 319,151/x
  3. Step 3: Cross multiply
    146,059x = 319,151 × 319,151
  4. Step 4: Simplify right side
    146,059x = 101,857,360,801
  5. Step 5: Solve for x
    x = 101,857,360,801/146,059
  6. Step 6: Final answer
    x = 697,371.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.