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Finding the Third Proportional to 214,320 and 458,164

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Solution

The third proportional to 214,320 and 458,164 is: 979,443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,320 : 458,164 = 458,164 : x
  2. Step 2: Convert to fraction form
    214,320/458,164 = 458,164/x
  3. Step 3: Cross multiply
    214,320x = 458,164 × 458,164
  4. Step 4: Simplify right side
    214,320x = 209,914,250,896
  5. Step 5: Solve for x
    x = 209,914,250,896/214,320
  6. Step 6: Final answer
    x = 979,443.13

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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.