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Finding the Third Proportional to 193,770 and 282,997

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Solution

The third proportional to 193,770 and 282,997 is: 413,311.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,770 : 282,997 = 282,997 : x
  2. Step 2: Convert to fraction form
    193,770/282,997 = 282,997/x
  3. Step 3: Cross multiply
    193,770x = 282,997 × 282,997
  4. Step 4: Simplify right side
    193,770x = 80,087,302,009
  5. Step 5: Solve for x
    x = 80,087,302,009/193,770
  6. Step 6: Final answer
    x = 413,311.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.