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Finding the Third Proportional to 156,238.88 and 334,620

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Solution

The third proportional to 156,238.88 and 334,620 is: 716,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,238.88 : 334,620 = 334,620 : x
  2. Step 2: Convert to fraction form
    156,238.88/334,620 = 334,620/x
  3. Step 3: Cross multiply
    156,238.88x = 334,620 × 334,620
  4. Step 4: Simplify right side
    156,238.88x = 111,970,544,400
  5. Step 5: Solve for x
    x = 111,970,544,400/156,238.88
  6. Step 6: Final answer
    x = 716,662.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.