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Finding the Third Proportional to 108,213 and 237,183

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Solution

The third proportional to 108,213 and 237,183 is: 519,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,213 : 237,183 = 237,183 : x
  2. Step 2: Convert to fraction form
    108,213/237,183 = 237,183/x
  3. Step 3: Cross multiply
    108,213x = 237,183 × 237,183
  4. Step 4: Simplify right side
    108,213x = 56,255,775,489
  5. Step 5: Solve for x
    x = 56,255,775,489/108,213
  6. Step 6: Final answer
    x = 519,861.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.