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Finding the Third Proportional to 196,563 and 294,536.25

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Solution

The third proportional to 196,563 and 294,536.25 is: 441,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,563 : 294,536.25 = 294,536.25 : x
  2. Step 2: Convert to fraction form
    196,563/294,536.25 = 294,536.25/x
  3. Step 3: Cross multiply
    196,563x = 294,536.25 × 294,536.25
  4. Step 4: Simplify right side
    196,563x = 86,751,602,564.06
  5. Step 5: Solve for x
    x = 86,751,602,564.06/196,563
  6. Step 6: Final answer
    x = 441,342.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.