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Finding the Third Proportional to 98,302 and 231,083

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Solution

The third proportional to 98,302 and 231,083 is: 543,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,302 : 231,083 = 231,083 : x
  2. Step 2: Convert to fraction form
    98,302/231,083 = 231,083/x
  3. Step 3: Cross multiply
    98,302x = 231,083 × 231,083
  4. Step 4: Simplify right side
    98,302x = 53,399,352,889
  5. Step 5: Solve for x
    x = 53,399,352,889/98,302
  6. Step 6: Final answer
    x = 543,217.36

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.