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Finding the Third Proportional to 108,989 and 235,177

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Solution

The third proportional to 108,989 and 235,177 is: 507,466.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,989 : 235,177 = 235,177 : x
  2. Step 2: Convert to fraction form
    108,989/235,177 = 235,177/x
  3. Step 3: Cross multiply
    108,989x = 235,177 × 235,177
  4. Step 4: Simplify right side
    108,989x = 55,308,221,329
  5. Step 5: Solve for x
    x = 55,308,221,329/108,989
  6. Step 6: Final answer
    x = 507,466.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.