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Finding the Third Proportional to 199,044 and 308,205

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Solution

The third proportional to 199,044 and 308,205 is: 477,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,044 : 308,205 = 308,205 : x
  2. Step 2: Convert to fraction form
    199,044/308,205 = 308,205/x
  3. Step 3: Cross multiply
    199,044x = 308,205 × 308,205
  4. Step 4: Simplify right side
    199,044x = 94,990,322,025
  5. Step 5: Solve for x
    x = 94,990,322,025/199,044
  6. Step 6: Final answer
    x = 477,232.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.