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Finding the Third Proportional to 108,559 and 235,684

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Solution

The third proportional to 108,559 and 235,684 is: 511,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,559 : 235,684 = 235,684 : x
  2. Step 2: Convert to fraction form
    108,559/235,684 = 235,684/x
  3. Step 3: Cross multiply
    108,559x = 235,684 × 235,684
  4. Step 4: Simplify right side
    108,559x = 55,546,947,856
  5. Step 5: Solve for x
    x = 55,546,947,856/108,559
  6. Step 6: Final answer
    x = 511,675.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.