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Finding the Third Proportional to 127,859 and 200,580

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Solution

The third proportional to 127,859 and 200,580 is: 314,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,859 : 200,580 = 200,580 : x
  2. Step 2: Convert to fraction form
    127,859/200,580 = 200,580/x
  3. Step 3: Cross multiply
    127,859x = 200,580 × 200,580
  4. Step 4: Simplify right side
    127,859x = 40,232,336,400
  5. Step 5: Solve for x
    x = 40,232,336,400/127,859
  6. Step 6: Final answer
    x = 314,661.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.