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Finding the Third Proportional to 214,604 and 339,740

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Solution

The third proportional to 214,604 and 339,740 is: 537,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,604 : 339,740 = 339,740 : x
  2. Step 2: Convert to fraction form
    214,604/339,740 = 339,740/x
  3. Step 3: Cross multiply
    214,604x = 339,740 × 339,740
  4. Step 4: Simplify right side
    214,604x = 115,423,267,600
  5. Step 5: Solve for x
    x = 115,423,267,600/214,604
  6. Step 6: Final answer
    x = 537,843.04

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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.