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Finding the Third Proportional to 108,308 and 226,453

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Solution

The third proportional to 108,308 and 226,453 is: 473,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,308 : 226,453 = 226,453 : x
  2. Step 2: Convert to fraction form
    108,308/226,453 = 226,453/x
  3. Step 3: Cross multiply
    108,308x = 226,453 × 226,453
  4. Step 4: Simplify right side
    108,308x = 51,280,961,209
  5. Step 5: Solve for x
    x = 51,280,961,209/108,308
  6. Step 6: Final answer
    x = 473,473.44

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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.