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Finding the Third Proportional to 127,025.40 and 276,194.18

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Solution

The third proportional to 127,025.40 and 276,194.18 is: 600,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,025.40 : 276,194.18 = 276,194.18 : x
  2. Step 2: Convert to fraction form
    127,025.40/276,194.18 = 276,194.18/x
  3. Step 3: Cross multiply
    127,025.40x = 276,194.18 × 276,194.18
  4. Step 4: Simplify right side
    127,025.40x = 76,283,224,893.25
  5. Step 5: Solve for x
    x = 76,283,224,893.25/127,025.40
  6. Step 6: Final answer
    x = 600,535.20

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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.