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Finding the Third Proportional to 108,040 and 235,447

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Solution

The third proportional to 108,040 and 235,447 is: 513,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,040 : 235,447 = 235,447 : x
  2. Step 2: Convert to fraction form
    108,040/235,447 = 235,447/x
  3. Step 3: Cross multiply
    108,040x = 235,447 × 235,447
  4. Step 4: Simplify right side
    108,040x = 55,435,289,809
  5. Step 5: Solve for x
    x = 55,435,289,809/108,040
  6. Step 6: Final answer
    x = 513,099.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.