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Finding the Third Proportional to 214,143.75 and 458,622

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Solution

The third proportional to 214,143.75 and 458,622 is: 982,210.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,143.75 : 458,622 = 458,622 : x
  2. Step 2: Convert to fraction form
    214,143.75/458,622 = 458,622/x
  3. Step 3: Cross multiply
    214,143.75x = 458,622 × 458,622
  4. Step 4: Simplify right side
    214,143.75x = 210,334,138,884
  5. Step 5: Solve for x
    x = 210,334,138,884/214,143.75
  6. Step 6: Final answer
    x = 982,210.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.