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Finding the Third Proportional to 127,745.44 and 268,720.88

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Solution

The third proportional to 127,745.44 and 268,720.88 is: 565,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,745.44 : 268,720.88 = 268,720.88 : x
  2. Step 2: Convert to fraction form
    127,745.44/268,720.88 = 268,720.88/x
  3. Step 3: Cross multiply
    127,745.44x = 268,720.88 × 268,720.88
  4. Step 4: Simplify right side
    127,745.44x = 72,210,908,660.77
  5. Step 5: Solve for x
    x = 72,210,908,660.77/127,745.44
  6. Step 6: Final answer
    x = 565,271.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.