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Finding the Third Proportional to 188,984 and 289,983

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Solution

The third proportional to 188,984 and 289,983 is: 444,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,984 : 289,983 = 289,983 : x
  2. Step 2: Convert to fraction form
    188,984/289,983 = 289,983/x
  3. Step 3: Cross multiply
    188,984x = 289,983 × 289,983
  4. Step 4: Simplify right side
    188,984x = 84,090,140,289
  5. Step 5: Solve for x
    x = 84,090,140,289/188,984
  6. Step 6: Final answer
    x = 444,959.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.