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Finding the Third Proportional to 214,399 and 315,178

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Solution

The third proportional to 214,399 and 315,178 is: 463,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,399 : 315,178 = 315,178 : x
  2. Step 2: Convert to fraction form
    214,399/315,178 = 315,178/x
  3. Step 3: Cross multiply
    214,399x = 315,178 × 315,178
  4. Step 4: Simplify right side
    214,399x = 99,337,171,684
  5. Step 5: Solve for x
    x = 99,337,171,684/214,399
  6. Step 6: Final answer
    x = 463,328.52

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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.