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Finding the Third Proportional to 220,741 and 341,722

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Solution

The third proportional to 220,741 and 341,722 is: 529,008.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,741 : 341,722 = 341,722 : x
  2. Step 2: Convert to fraction form
    220,741/341,722 = 341,722/x
  3. Step 3: Cross multiply
    220,741x = 341,722 × 341,722
  4. Step 4: Simplify right side
    220,741x = 116,773,925,284
  5. Step 5: Solve for x
    x = 116,773,925,284/220,741
  6. Step 6: Final answer
    x = 529,008.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.