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Finding the Third Proportional to 214,391 and 315,163

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Solution

The third proportional to 214,391 and 315,163 is: 463,301.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,391 : 315,163 = 315,163 : x
  2. Step 2: Convert to fraction form
    214,391/315,163 = 315,163/x
  3. Step 3: Cross multiply
    214,391x = 315,163 × 315,163
  4. Step 4: Simplify right side
    214,391x = 99,327,716,569
  5. Step 5: Solve for x
    x = 99,327,716,569/214,391
  6. Step 6: Final answer
    x = 463,301.71

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Why These Related Problems?

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