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Finding the Third Proportional to 196,296.75 and 423,697.50

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Solution

The third proportional to 196,296.75 and 423,697.50 is: 914,531.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,296.75 : 423,697.50 = 423,697.50 : x
  2. Step 2: Convert to fraction form
    196,296.75/423,697.50 = 423,697.50/x
  3. Step 3: Cross multiply
    196,296.75x = 423,697.50 × 423,697.50
  4. Step 4: Simplify right side
    196,296.75x = 179,519,571,506.25
  5. Step 5: Solve for x
    x = 179,519,571,506.25/196,296.75
  6. Step 6: Final answer
    x = 914,531.55

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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.