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Finding the Third Proportional to 176,058 and 373,932

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Solution

The third proportional to 176,058 and 373,932 is: 794,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,058 : 373,932 = 373,932 : x
  2. Step 2: Convert to fraction form
    176,058/373,932 = 373,932/x
  3. Step 3: Cross multiply
    176,058x = 373,932 × 373,932
  4. Step 4: Simplify right side
    176,058x = 139,825,140,624
  5. Step 5: Solve for x
    x = 139,825,140,624/176,058
  6. Step 6: Final answer
    x = 794,199.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.