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Finding the Third Proportional to 214,676 and 315,445

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Solution

The third proportional to 214,676 and 315,445 is: 463,515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,676 : 315,445 = 315,445 : x
  2. Step 2: Convert to fraction form
    214,676/315,445 = 315,445/x
  3. Step 3: Cross multiply
    214,676x = 315,445 × 315,445
  4. Step 4: Simplify right side
    214,676x = 99,505,548,025
  5. Step 5: Solve for x
    x = 99,505,548,025/214,676
  6. Step 6: Final answer
    x = 463,515.01

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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.