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Finding the Third Proportional to 199,181.25 and 304,830

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Solution

The third proportional to 199,181.25 and 304,830 is: 466,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,181.25 : 304,830 = 304,830 : x
  2. Step 2: Convert to fraction form
    199,181.25/304,830 = 304,830/x
  3. Step 3: Cross multiply
    199,181.25x = 304,830 × 304,830
  4. Step 4: Simplify right side
    199,181.25x = 92,921,328,900
  5. Step 5: Solve for x
    x = 92,921,328,900/199,181.25
  6. Step 6: Final answer
    x = 466,516.45

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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.