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Finding the Third Proportional to 108,780 and 230,610

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Solution

The third proportional to 108,780 and 230,610 is: 488,885.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,780 : 230,610 = 230,610 : x
  2. Step 2: Convert to fraction form
    108,780/230,610 = 230,610/x
  3. Step 3: Cross multiply
    108,780x = 230,610 × 230,610
  4. Step 4: Simplify right side
    108,780x = 53,180,972,100
  5. Step 5: Solve for x
    x = 53,180,972,100/108,780
  6. Step 6: Final answer
    x = 488,885.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.