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Finding the Third Proportional to 214,560 and 315,279

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Solution

The third proportional to 214,560 and 315,279 is: 463,277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,560 : 315,279 = 315,279 : x
  2. Step 2: Convert to fraction form
    214,560/315,279 = 315,279/x
  3. Step 3: Cross multiply
    214,560x = 315,279 × 315,279
  4. Step 4: Simplify right side
    214,560x = 99,400,847,841
  5. Step 5: Solve for x
    x = 99,400,847,841/214,560
  6. Step 6: Final answer
    x = 463,277.63

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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.