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Finding the Third Proportional to 196,565 and 294,538

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Solution

The third proportional to 196,565 and 294,538 is: 441,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,565 : 294,538 = 294,538 : x
  2. Step 2: Convert to fraction form
    196,565/294,538 = 294,538/x
  3. Step 3: Cross multiply
    196,565x = 294,538 × 294,538
  4. Step 4: Simplify right side
    196,565x = 86,752,633,444
  5. Step 5: Solve for x
    x = 86,752,633,444/196,565
  6. Step 6: Final answer
    x = 441,343.24

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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.