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Finding the Third Proportional to 199,316 and 298,424

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Solution

The third proportional to 199,316 and 298,424 is: 446,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,316 : 298,424 = 298,424 : x
  2. Step 2: Convert to fraction form
    199,316/298,424 = 298,424/x
  3. Step 3: Cross multiply
    199,316x = 298,424 × 298,424
  4. Step 4: Simplify right side
    199,316x = 89,056,883,776
  5. Step 5: Solve for x
    x = 89,056,883,776/199,316
  6. Step 6: Final answer
    x = 446,812.52

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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.