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Finding the Third Proportional to 108,315 and 226,467

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Solution

The third proportional to 108,315 and 226,467 is: 473,501.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,315 : 226,467 = 226,467 : x
  2. Step 2: Convert to fraction form
    108,315/226,467 = 226,467/x
  3. Step 3: Cross multiply
    108,315x = 226,467 × 226,467
  4. Step 4: Simplify right side
    108,315x = 51,287,302,089
  5. Step 5: Solve for x
    x = 51,287,302,089/108,315
  6. Step 6: Final answer
    x = 473,501.38

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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.