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Finding the Third Proportional to 100,457 and 214,242

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Solution

The third proportional to 100,457 and 214,242 is: 456,908.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,457 : 214,242 = 214,242 : x
  2. Step 2: Convert to fraction form
    100,457/214,242 = 214,242/x
  3. Step 3: Cross multiply
    100,457x = 214,242 × 214,242
  4. Step 4: Simplify right side
    100,457x = 45,899,634,564
  5. Step 5: Solve for x
    x = 45,899,634,564/100,457
  6. Step 6: Final answer
    x = 456,908.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.