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Finding the Third Proportional to 214,320 and 458,166

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Solution

The third proportional to 214,320 and 458,166 is: 979,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,320 : 458,166 = 458,166 : x
  2. Step 2: Convert to fraction form
    214,320/458,166 = 458,166/x
  3. Step 3: Cross multiply
    214,320x = 458,166 × 458,166
  4. Step 4: Simplify right side
    214,320x = 209,916,083,556
  5. Step 5: Solve for x
    x = 209,916,083,556/214,320
  6. Step 6: Final answer
    x = 979,451.68

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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.