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Finding the Third Proportional to 193,706 and 421,722

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Solution

The third proportional to 193,706 and 421,722 is: 918,141.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,706 : 421,722 = 421,722 : x
  2. Step 2: Convert to fraction form
    193,706/421,722 = 421,722/x
  3. Step 3: Cross multiply
    193,706x = 421,722 × 421,722
  4. Step 4: Simplify right side
    193,706x = 177,849,445,284
  5. Step 5: Solve for x
    x = 177,849,445,284/193,706
  6. Step 6: Final answer
    x = 918,141.13

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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.