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Finding the Third Proportional to 196,554.75 and 294,525

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Solution

The third proportional to 196,554.75 and 294,525 is: 441,327.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,554.75 : 294,525 = 294,525 : x
  2. Step 2: Convert to fraction form
    196,554.75/294,525 = 294,525/x
  3. Step 3: Cross multiply
    196,554.75x = 294,525 × 294,525
  4. Step 4: Simplify right side
    196,554.75x = 86,744,975,625
  5. Step 5: Solve for x
    x = 86,744,975,625/196,554.75
  6. Step 6: Final answer
    x = 441,327.29

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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.