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Finding the Third Proportional to 214,430.63 and 315,408.94

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Solution

The third proportional to 214,430.63 and 315,408.94 is: 463,939.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,430.63 : 315,408.94 = 315,408.94 : x
  2. Step 2: Convert to fraction form
    214,430.63/315,408.94 = 315,408.94/x
  3. Step 3: Cross multiply
    214,430.63x = 315,408.94 × 315,408.94
  4. Step 4: Simplify right side
    214,430.63x = 99,482,797,854.88
  5. Step 5: Solve for x
    x = 99,482,797,854.88/214,430.63
  6. Step 6: Final answer
    x = 463,939.32

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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.