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Finding the Third Proportional to 108,153 and 231,252

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Solution

The third proportional to 108,153 and 231,252 is: 494,461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,153 : 231,252 = 231,252 : x
  2. Step 2: Convert to fraction form
    108,153/231,252 = 231,252/x
  3. Step 3: Cross multiply
    108,153x = 231,252 × 231,252
  4. Step 4: Simplify right side
    108,153x = 53,477,487,504
  5. Step 5: Solve for x
    x = 53,477,487,504/108,153
  6. Step 6: Final answer
    x = 494,461.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.