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Finding the Third Proportional to 175,058 and 385,108

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Solution

The third proportional to 175,058 and 385,108 is: 847,194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,058 : 385,108 = 385,108 : x
  2. Step 2: Convert to fraction form
    175,058/385,108 = 385,108/x
  3. Step 3: Cross multiply
    175,058x = 385,108 × 385,108
  4. Step 4: Simplify right side
    175,058x = 148,308,171,664
  5. Step 5: Solve for x
    x = 148,308,171,664/175,058
  6. Step 6: Final answer
    x = 847,194.48

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Why These Related Problems?

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