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Finding the Third Proportional to 199,152 and 304,800

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Solution

The third proportional to 199,152 and 304,800 is: 466,493.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,152 : 304,800 = 304,800 : x
  2. Step 2: Convert to fraction form
    199,152/304,800 = 304,800/x
  3. Step 3: Cross multiply
    199,152x = 304,800 × 304,800
  4. Step 4: Simplify right side
    199,152x = 92,903,040,000
  5. Step 5: Solve for x
    x = 92,903,040,000/199,152
  6. Step 6: Final answer
    x = 466,493.13

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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.