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Finding the Third Proportional to 214,354 and 315,336

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Solution

The third proportional to 214,354 and 315,336 is: 463,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,354 : 315,336 = 315,336 : x
  2. Step 2: Convert to fraction form
    214,354/315,336 = 315,336/x
  3. Step 3: Cross multiply
    214,354x = 315,336 × 315,336
  4. Step 4: Simplify right side
    214,354x = 99,436,792,896
  5. Step 5: Solve for x
    x = 99,436,792,896/214,354
  6. Step 6: Final answer
    x = 463,890.54

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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.