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Finding the Third Proportional to 127,326.56 and 269,830.88

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Solution

The third proportional to 127,326.56 and 269,830.88 is: 571,826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,326.56 : 269,830.88 = 269,830.88 : x
  2. Step 2: Convert to fraction form
    127,326.56/269,830.88 = 269,830.88/x
  3. Step 3: Cross multiply
    127,326.56x = 269,830.88 × 269,830.88
  4. Step 4: Simplify right side
    127,326.56x = 72,808,701,103.27
  5. Step 5: Solve for x
    x = 72,808,701,103.27/127,326.56
  6. Step 6: Final answer
    x = 571,826.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.