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Finding the Third Proportional to 108,297 and 226,431

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Solution

The third proportional to 108,297 and 226,431 is: 473,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,297 : 226,431 = 226,431 : x
  2. Step 2: Convert to fraction form
    108,297/226,431 = 226,431/x
  3. Step 3: Cross multiply
    108,297x = 226,431 × 226,431
  4. Step 4: Simplify right side
    108,297x = 51,270,997,761
  5. Step 5: Solve for x
    x = 51,270,997,761/108,297
  6. Step 6: Final answer
    x = 473,429.53

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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.