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Finding the Third Proportional to 116,394.75 and 180,810

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Solution

The third proportional to 116,394.75 and 180,810 is: 280,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,394.75 : 180,810 = 180,810 : x
  2. Step 2: Convert to fraction form
    116,394.75/180,810 = 180,810/x
  3. Step 3: Cross multiply
    116,394.75x = 180,810 × 180,810
  4. Step 4: Simplify right side
    116,394.75x = 32,692,256,100
  5. Step 5: Solve for x
    x = 32,692,256,100/116,394.75
  6. Step 6: Final answer
    x = 280,873.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.