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Finding the Third Proportional to 179,927 and 384,769

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Solution

The third proportional to 179,927 and 384,769 is: 822,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,927 : 384,769 = 384,769 : x
  2. Step 2: Convert to fraction form
    179,927/384,769 = 384,769/x
  3. Step 3: Cross multiply
    179,927x = 384,769 × 384,769
  4. Step 4: Simplify right side
    179,927x = 148,047,183,361
  5. Step 5: Solve for x
    x = 148,047,183,361/179,927
  6. Step 6: Final answer
    x = 822,818.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.