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Finding the Third Proportional to 181,927 and 391,214

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Solution

The third proportional to 181,927 and 391,214 is: 841,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,927 : 391,214 = 391,214 : x
  2. Step 2: Convert to fraction form
    181,927/391,214 = 391,214/x
  3. Step 3: Cross multiply
    181,927x = 391,214 × 391,214
  4. Step 4: Simplify right side
    181,927x = 153,048,393,796
  5. Step 5: Solve for x
    x = 153,048,393,796/181,927
  6. Step 6: Final answer
    x = 841,262.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.