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Finding the Third Proportional to 156,918.75 and 343,179.75

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Solution

The third proportional to 156,918.75 and 343,179.75 is: 750,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,918.75 : 343,179.75 = 343,179.75 : x
  2. Step 2: Convert to fraction form
    156,918.75/343,179.75 = 343,179.75/x
  3. Step 3: Cross multiply
    156,918.75x = 343,179.75 × 343,179.75
  4. Step 4: Simplify right side
    156,918.75x = 117,772,340,810.06
  5. Step 5: Solve for x
    x = 117,772,340,810.06/156,918.75
  6. Step 6: Final answer
    x = 750,530.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.