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Finding the Third Proportional to 127,233.50 and 197,107.50

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Solution

The third proportional to 127,233.50 and 197,107.50 is: 305,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,233.50 : 197,107.50 = 197,107.50 : x
  2. Step 2: Convert to fraction form
    127,233.50/197,107.50 = 197,107.50/x
  3. Step 3: Cross multiply
    127,233.50x = 197,107.50 × 197,107.50
  4. Step 4: Simplify right side
    127,233.50x = 38,851,366,556.25
  5. Step 5: Solve for x
    x = 38,851,366,556.25/127,233.50
  6. Step 6: Final answer
    x = 305,354.85

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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.