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Finding the Third Proportional to 126,456.05 and 264,603.94

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Solution

The third proportional to 126,456.05 and 264,603.94 is: 553,672.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,456.05 : 264,603.94 = 264,603.94 : x
  2. Step 2: Convert to fraction form
    126,456.05/264,603.94 = 264,603.94/x
  3. Step 3: Cross multiply
    126,456.05x = 264,603.94 × 264,603.94
  4. Step 4: Simplify right side
    126,456.05x = 70,015,243,740.50
  5. Step 5: Solve for x
    x = 70,015,243,740.50/126,456.05
  6. Step 6: Final answer
    x = 553,672.56

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.