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Finding the Third Proportional to 196,406.25 and 300,315

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Solution

The third proportional to 196,406.25 and 300,315 is: 459,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,406.25 : 300,315 = 300,315 : x
  2. Step 2: Convert to fraction form
    196,406.25/300,315 = 300,315/x
  3. Step 3: Cross multiply
    196,406.25x = 300,315 × 300,315
  4. Step 4: Simplify right side
    196,406.25x = 90,189,099,225
  5. Step 5: Solve for x
    x = 90,189,099,225/196,406.25
  6. Step 6: Final answer
    x = 459,196.69

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.