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Finding the Third Proportional to 214,430.25 and 315,408.75

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Solution

The third proportional to 214,430.25 and 315,408.75 is: 463,939.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,430.25 : 315,408.75 = 315,408.75 : x
  2. Step 2: Convert to fraction form
    214,430.25/315,408.75 = 315,408.75/x
  3. Step 3: Cross multiply
    214,430.25x = 315,408.75 × 315,408.75
  4. Step 4: Simplify right side
    214,430.25x = 99,482,679,576.56
  5. Step 5: Solve for x
    x = 99,482,679,576.56/214,430.25
  6. Step 6: Final answer
    x = 463,939.58

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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.