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Finding the Third Proportional to 217,305 and 345,774

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Solution

The third proportional to 217,305 and 345,774 is: 550,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,305 : 345,774 = 345,774 : x
  2. Step 2: Convert to fraction form
    217,305/345,774 = 345,774/x
  3. Step 3: Cross multiply
    217,305x = 345,774 × 345,774
  4. Step 4: Simplify right side
    217,305x = 119,559,659,076
  5. Step 5: Solve for x
    x = 119,559,659,076/217,305
  6. Step 6: Final answer
    x = 550,192.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.