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Finding the Third Proportional to 127,353 and 273,497

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Solution

The third proportional to 127,353 and 273,497 is: 587,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,353 : 273,497 = 273,497 : x
  2. Step 2: Convert to fraction form
    127,353/273,497 = 273,497/x
  3. Step 3: Cross multiply
    127,353x = 273,497 × 273,497
  4. Step 4: Simplify right side
    127,353x = 74,800,609,009
  5. Step 5: Solve for x
    x = 74,800,609,009/127,353
  6. Step 6: Final answer
    x = 587,348.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.