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Finding the Third Proportional to 214,085 and 441,130

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Solution

The third proportional to 214,085 and 441,130 is: 908,964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,085 : 441,130 = 441,130 : x
  2. Step 2: Convert to fraction form
    214,085/441,130 = 441,130/x
  3. Step 3: Cross multiply
    214,085x = 441,130 × 441,130
  4. Step 4: Simplify right side
    214,085x = 194,595,676,900
  5. Step 5: Solve for x
    x = 194,595,676,900/214,085
  6. Step 6: Final answer
    x = 908,964.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.