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Finding the Third Proportional to 196,572 and 294,546

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Solution

The third proportional to 196,572 and 294,546 is: 441,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,572 : 294,546 = 294,546 : x
  2. Step 2: Convert to fraction form
    196,572/294,546 = 294,546/x
  3. Step 3: Cross multiply
    196,572x = 294,546 × 294,546
  4. Step 4: Simplify right side
    196,572x = 86,757,346,116
  5. Step 5: Solve for x
    x = 86,757,346,116/196,572
  6. Step 6: Final answer
    x = 441,351.50

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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.