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Finding the Third Proportional to 134,902.13 and 291,415.50

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Solution

The third proportional to 134,902.13 and 291,415.50 is: 629,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,902.13 : 291,415.50 = 291,415.50 : x
  2. Step 2: Convert to fraction form
    134,902.13/291,415.50 = 291,415.50/x
  3. Step 3: Cross multiply
    134,902.13x = 291,415.50 × 291,415.50
  4. Step 4: Simplify right side
    134,902.13x = 84,922,993,640.25
  5. Step 5: Solve for x
    x = 84,922,993,640.25/134,902.13
  6. Step 6: Final answer
    x = 629,515.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.