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Finding the Third Proportional to 127,185 and 276,240

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Solution

The third proportional to 127,185 and 276,240 is: 599,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,185 : 276,240 = 276,240 : x
  2. Step 2: Convert to fraction form
    127,185/276,240 = 276,240/x
  3. Step 3: Cross multiply
    127,185x = 276,240 × 276,240
  4. Step 4: Simplify right side
    127,185x = 76,308,537,600
  5. Step 5: Solve for x
    x = 76,308,537,600/127,185
  6. Step 6: Final answer
    x = 599,980.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.