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Finding the Third Proportional to 214,351.50 and 458,226

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Solution

The third proportional to 214,351.50 and 458,226 is: 979,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,351.50 : 458,226 = 458,226 : x
  2. Step 2: Convert to fraction form
    214,351.50/458,226 = 458,226/x
  3. Step 3: Cross multiply
    214,351.50x = 458,226 × 458,226
  4. Step 4: Simplify right side
    214,351.50x = 209,971,067,076
  5. Step 5: Solve for x
    x = 209,971,067,076/214,351.50
  6. Step 6: Final answer
    x = 979,564.25

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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.