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Finding the Third Proportional to 127,812.94 and 276,784.88

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Solution

The third proportional to 127,812.94 and 276,784.88 is: 599,390.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,812.94 : 276,784.88 = 276,784.88 : x
  2. Step 2: Convert to fraction form
    127,812.94/276,784.88 = 276,784.88/x
  3. Step 3: Cross multiply
    127,812.94x = 276,784.88 × 276,784.88
  4. Step 4: Simplify right side
    127,812.94x = 76,609,867,028.77
  5. Step 5: Solve for x
    x = 76,609,867,028.77/127,812.94
  6. Step 6: Final answer
    x = 599,390.55

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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.