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Finding the Third Proportional to 214,396.50 and 315,175.50

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Solution

The third proportional to 214,396.50 and 315,175.50 is: 463,326.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,396.50 : 315,175.50 = 315,175.50 : x
  2. Step 2: Convert to fraction form
    214,396.50/315,175.50 = 315,175.50/x
  3. Step 3: Cross multiply
    214,396.50x = 315,175.50 × 315,175.50
  4. Step 4: Simplify right side
    214,396.50x = 99,335,595,800.25
  5. Step 5: Solve for x
    x = 99,335,595,800.25/214,396.50
  6. Step 6: Final answer
    x = 463,326.57

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.