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Finding the Third Proportional to 196,208.88 and 294,313.38

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Solution

The third proportional to 196,208.88 and 294,313.38 is: 441,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,208.88 : 294,313.38 = 294,313.38 : x
  2. Step 2: Convert to fraction form
    196,208.88/294,313.38 = 294,313.38/x
  3. Step 3: Cross multiply
    196,208.88x = 294,313.38 × 294,313.38
  4. Step 4: Simplify right side
    196,208.88x = 86,620,362,703.89
  5. Step 5: Solve for x
    x = 86,620,362,703.89/196,208.88
  6. Step 6: Final answer
    x = 441,470.16

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Why These Related Problems?

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