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Finding the Third Proportional to 127,200.38 and 264,864.94

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Solution

The third proportional to 127,200.38 and 264,864.94 is: 551,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,200.38 : 264,864.94 = 264,864.94 : x
  2. Step 2: Convert to fraction form
    127,200.38/264,864.94 = 264,864.94/x
  3. Step 3: Cross multiply
    127,200.38x = 264,864.94 × 264,864.94
  4. Step 4: Simplify right side
    127,200.38x = 70,153,435,116.88
  5. Step 5: Solve for x
    x = 70,153,435,116.88/127,200.38
  6. Step 6: Final answer
    x = 551,519.09

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.