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Finding the Third Proportional to 199,326 and 298,440

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Solution

The third proportional to 199,326 and 298,440 is: 446,838.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,326 : 298,440 = 298,440 : x
  2. Step 2: Convert to fraction form
    199,326/298,440 = 298,440/x
  3. Step 3: Cross multiply
    199,326x = 298,440 × 298,440
  4. Step 4: Simplify right side
    199,326x = 89,066,433,600
  5. Step 5: Solve for x
    x = 89,066,433,600/199,326
  6. Step 6: Final answer
    x = 446,838.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.