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Finding the Third Proportional to 108,450 and 230,724

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Solution

The third proportional to 108,450 and 230,724 is: 490,858.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,450 : 230,724 = 230,724 : x
  2. Step 2: Convert to fraction form
    108,450/230,724 = 230,724/x
  3. Step 3: Cross multiply
    108,450x = 230,724 × 230,724
  4. Step 4: Simplify right side
    108,450x = 53,233,564,176
  5. Step 5: Solve for x
    x = 53,233,564,176/108,450
  6. Step 6: Final answer
    x = 490,858.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.