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Finding the Third Proportional to 127,364 and 196,390

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Solution

The third proportional to 127,364 and 196,390 is: 302,825.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,364 : 196,390 = 196,390 : x
  2. Step 2: Convert to fraction form
    127,364/196,390 = 196,390/x
  3. Step 3: Cross multiply
    127,364x = 196,390 × 196,390
  4. Step 4: Simplify right side
    127,364x = 38,569,032,100
  5. Step 5: Solve for x
    x = 38,569,032,100/127,364
  6. Step 6: Final answer
    x = 302,825.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.