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Finding the Third Proportional to 214,114 and 461,114

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Solution

The third proportional to 214,114 and 461,114 is: 993,051.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,114 : 461,114 = 461,114 : x
  2. Step 2: Convert to fraction form
    214,114/461,114 = 461,114/x
  3. Step 3: Cross multiply
    214,114x = 461,114 × 461,114
  4. Step 4: Simplify right side
    214,114x = 212,626,120,996
  5. Step 5: Solve for x
    x = 212,626,120,996/214,114
  6. Step 6: Final answer
    x = 993,051.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.