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Finding the Third Proportional to 172,989 and 380,058

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Solution

The third proportional to 172,989 and 380,058 is: 834,989.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,989 : 380,058 = 380,058 : x
  2. Step 2: Convert to fraction form
    172,989/380,058 = 380,058/x
  3. Step 3: Cross multiply
    172,989x = 380,058 × 380,058
  4. Step 4: Simplify right side
    172,989x = 144,444,083,364
  5. Step 5: Solve for x
    x = 144,444,083,364/172,989
  6. Step 6: Final answer
    x = 834,989.99

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.