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Finding the Third Proportional to 134,400.94 and 293,253.75

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Solution

The third proportional to 134,400.94 and 293,253.75 is: 639,859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,400.94 : 293,253.75 = 293,253.75 : x
  2. Step 2: Convert to fraction form
    134,400.94/293,253.75 = 293,253.75/x
  3. Step 3: Cross multiply
    134,400.94x = 293,253.75 × 293,253.75
  4. Step 4: Simplify right side
    134,400.94x = 85,997,761,889.06
  5. Step 5: Solve for x
    x = 85,997,761,889.06/134,400.94
  6. Step 6: Final answer
    x = 639,859.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.