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Finding the Third Proportional to 127,852.88 and 269,184.94

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Solution

The third proportional to 127,852.88 and 269,184.94 is: 566,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,852.88 : 269,184.94 = 269,184.94 : x
  2. Step 2: Convert to fraction form
    127,852.88/269,184.94 = 269,184.94/x
  3. Step 3: Cross multiply
    127,852.88x = 269,184.94 × 269,184.94
  4. Step 4: Simplify right side
    127,852.88x = 72,460,530,576.88
  5. Step 5: Solve for x
    x = 72,460,530,576.88/127,852.88
  6. Step 6: Final answer
    x = 566,749.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.