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Finding the Third Proportional to 199,222 and 296,009

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Solution

The third proportional to 199,222 and 296,009 is: 439,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,222 : 296,009 = 296,009 : x
  2. Step 2: Convert to fraction form
    199,222/296,009 = 296,009/x
  3. Step 3: Cross multiply
    199,222x = 296,009 × 296,009
  4. Step 4: Simplify right side
    199,222x = 87,621,328,081
  5. Step 5: Solve for x
    x = 87,621,328,081/199,222
  6. Step 6: Final answer
    x = 439,817.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.