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Finding the Third Proportional to 108,519 and 235,080

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Solution

The third proportional to 108,519 and 235,080 is: 509,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,519 : 235,080 = 235,080 : x
  2. Step 2: Convert to fraction form
    108,519/235,080 = 235,080/x
  3. Step 3: Cross multiply
    108,519x = 235,080 × 235,080
  4. Step 4: Simplify right side
    108,519x = 55,262,606,400
  5. Step 5: Solve for x
    x = 55,262,606,400/108,519
  6. Step 6: Final answer
    x = 509,243.60

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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.