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Finding the Third Proportional to 175,171 and 383,058

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Solution

The third proportional to 175,171 and 383,058 is: 837,658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,171 : 383,058 = 383,058 : x
  2. Step 2: Convert to fraction form
    175,171/383,058 = 383,058/x
  3. Step 3: Cross multiply
    175,171x = 383,058 × 383,058
  4. Step 4: Simplify right side
    175,171x = 146,733,431,364
  5. Step 5: Solve for x
    x = 146,733,431,364/175,171
  6. Step 6: Final answer
    x = 837,658.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.