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Finding the Third Proportional to 108,174 and 236,707

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Solution

The third proportional to 108,174 and 236,707 is: 517,963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,174 : 236,707 = 236,707 : x
  2. Step 2: Convert to fraction form
    108,174/236,707 = 236,707/x
  3. Step 3: Cross multiply
    108,174x = 236,707 × 236,707
  4. Step 4: Simplify right side
    108,174x = 56,030,203,849
  5. Step 5: Solve for x
    x = 56,030,203,849/108,174
  6. Step 6: Final answer
    x = 517,963.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.