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Finding the Third Proportional to 146,223 and 320,373

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Solution

The third proportional to 146,223 and 320,373 is: 701,933.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,223 : 320,373 = 320,373 : x
  2. Step 2: Convert to fraction form
    146,223/320,373 = 320,373/x
  3. Step 3: Cross multiply
    146,223x = 320,373 × 320,373
  4. Step 4: Simplify right side
    146,223x = 102,638,859,129
  5. Step 5: Solve for x
    x = 102,638,859,129/146,223
  6. Step 6: Final answer
    x = 701,933.75

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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.