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Finding the Third Proportional to 213,960 and 299,114

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Solution

The third proportional to 213,960 and 299,114 is: 418,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,960 : 299,114 = 299,114 : x
  2. Step 2: Convert to fraction form
    213,960/299,114 = 299,114/x
  3. Step 3: Cross multiply
    213,960x = 299,114 × 299,114
  4. Step 4: Simplify right side
    213,960x = 89,469,184,996
  5. Step 5: Solve for x
    x = 89,469,184,996/213,960
  6. Step 6: Final answer
    x = 418,158.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.