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Finding the Third Proportional to 228,222 and 335,871

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Solution

The third proportional to 228,222 and 335,871 is: 494,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,222 : 335,871 = 335,871 : x
  2. Step 2: Convert to fraction form
    228,222/335,871 = 335,871/x
  3. Step 3: Cross multiply
    228,222x = 335,871 × 335,871
  4. Step 4: Simplify right side
    228,222x = 112,809,328,641
  5. Step 5: Solve for x
    x = 112,809,328,641/228,222
  6. Step 6: Final answer
    x = 494,296.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.