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Finding the Third Proportional to 146,700 and 320,381

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Solution

The third proportional to 146,700 and 320,381 is: 699,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,700 : 320,381 = 320,381 : x
  2. Step 2: Convert to fraction form
    146,700/320,381 = 320,381/x
  3. Step 3: Cross multiply
    146,700x = 320,381 × 320,381
  4. Step 4: Simplify right side
    146,700x = 102,643,985,161
  5. Step 5: Solve for x
    x = 102,643,985,161/146,700
  6. Step 6: Final answer
    x = 699,686.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.