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Finding the Third Proportional to 199,096 and 308,309

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Solution

The third proportional to 199,096 and 308,309 is: 477,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,096 : 308,309 = 308,309 : x
  2. Step 2: Convert to fraction form
    199,096/308,309 = 308,309/x
  3. Step 3: Cross multiply
    199,096x = 308,309 × 308,309
  4. Step 4: Simplify right side
    199,096x = 95,054,439,481
  5. Step 5: Solve for x
    x = 95,054,439,481/199,096
  6. Step 6: Final answer
    x = 477,430.18

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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.