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Finding the Third Proportional to 108,958 and 237,215

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Solution

The third proportional to 108,958 and 237,215 is: 516,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,958 : 237,215 = 237,215 : x
  2. Step 2: Convert to fraction form
    108,958/237,215 = 237,215/x
  3. Step 3: Cross multiply
    108,958x = 237,215 × 237,215
  4. Step 4: Simplify right side
    108,958x = 56,270,956,225
  5. Step 5: Solve for x
    x = 56,270,956,225/108,958
  6. Step 6: Final answer
    x = 516,446.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.