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Finding the Third Proportional to 193,702 and 421,714

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Solution

The third proportional to 193,702 and 421,714 is: 918,125.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,702 : 421,714 = 421,714 : x
  2. Step 2: Convert to fraction form
    193,702/421,714 = 421,714/x
  3. Step 3: Cross multiply
    193,702x = 421,714 × 421,714
  4. Step 4: Simplify right side
    193,702x = 177,842,697,796
  5. Step 5: Solve for x
    x = 177,842,697,796/193,702
  6. Step 6: Final answer
    x = 918,125.25

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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.