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Finding the Third Proportional to 116,361 and 240,194.25

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Solution

The third proportional to 116,361 and 240,194.25 is: 495,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,361 : 240,194.25 = 240,194.25 : x
  2. Step 2: Convert to fraction form
    116,361/240,194.25 = 240,194.25/x
  3. Step 3: Cross multiply
    116,361x = 240,194.25 × 240,194.25
  4. Step 4: Simplify right side
    116,361x = 57,693,277,733.06
  5. Step 5: Solve for x
    x = 57,693,277,733.06/116,361
  6. Step 6: Final answer
    x = 495,812.84

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.