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Finding the Third Proportional to 108,309 and 226,455

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Solution

The third proportional to 108,309 and 226,455 is: 473,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,309 : 226,455 = 226,455 : x
  2. Step 2: Convert to fraction form
    108,309/226,455 = 226,455/x
  3. Step 3: Cross multiply
    108,309x = 226,455 × 226,455
  4. Step 4: Simplify right side
    108,309x = 51,281,867,025
  5. Step 5: Solve for x
    x = 51,281,867,025/108,309
  6. Step 6: Final answer
    x = 473,477.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.