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Finding the Third Proportional to 116,774 and 241,852

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Solution

The third proportional to 116,774 and 241,852 is: 500,902.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,774 : 241,852 = 241,852 : x
  2. Step 2: Convert to fraction form
    116,774/241,852 = 241,852/x
  3. Step 3: Cross multiply
    116,774x = 241,852 × 241,852
  4. Step 4: Simplify right side
    116,774x = 58,492,389,904
  5. Step 5: Solve for x
    x = 58,492,389,904/116,774
  6. Step 6: Final answer
    x = 500,902.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.