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Finding the Third Proportional to 85,058 and 198,671

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Solution

The third proportional to 85,058 and 198,671 is: 464,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,058 : 198,671 = 198,671 : x
  2. Step 2: Convert to fraction form
    85,058/198,671 = 198,671/x
  3. Step 3: Cross multiply
    85,058x = 198,671 × 198,671
  4. Step 4: Simplify right side
    85,058x = 39,470,166,241
  5. Step 5: Solve for x
    x = 39,470,166,241/85,058
  6. Step 6: Final answer
    x = 464,038.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.