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Finding the Third Proportional to 214,335 and 339,096

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Solution

The third proportional to 214,335 and 339,096 is: 536,478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,335 : 339,096 = 339,096 : x
  2. Step 2: Convert to fraction form
    214,335/339,096 = 339,096/x
  3. Step 3: Cross multiply
    214,335x = 339,096 × 339,096
  4. Step 4: Simplify right side
    214,335x = 114,986,097,216
  5. Step 5: Solve for x
    x = 114,986,097,216/214,335
  6. Step 6: Final answer
    x = 536,478.40

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.