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Finding the Third Proportional to 179,940.75 and 384,789

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Solution

The third proportional to 179,940.75 and 384,789 is: 822,840.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,940.75 : 384,789 = 384,789 : x
  2. Step 2: Convert to fraction form
    179,940.75/384,789 = 384,789/x
  3. Step 3: Cross multiply
    179,940.75x = 384,789 × 384,789
  4. Step 4: Simplify right side
    179,940.75x = 148,062,574,521
  5. Step 5: Solve for x
    x = 148,062,574,521/179,940.75
  6. Step 6: Final answer
    x = 822,840.71

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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.