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Finding the Third Proportional to 188,998 and 304,523

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Solution

The third proportional to 188,998 and 304,523 is: 490,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,998 : 304,523 = 304,523 : x
  2. Step 2: Convert to fraction form
    188,998/304,523 = 304,523/x
  3. Step 3: Cross multiply
    188,998x = 304,523 × 304,523
  4. Step 4: Simplify right side
    188,998x = 92,734,257,529
  5. Step 5: Solve for x
    x = 92,734,257,529/188,998
  6. Step 6: Final answer
    x = 490,662.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.