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Finding the Third Proportional to 196,130 and 293,932

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Solution

The third proportional to 196,130 and 293,932 is: 440,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,130 : 293,932 = 293,932 : x
  2. Step 2: Convert to fraction form
    196,130/293,932 = 293,932/x
  3. Step 3: Cross multiply
    196,130x = 293,932 × 293,932
  4. Step 4: Simplify right side
    196,130x = 86,396,020,624
  5. Step 5: Solve for x
    x = 86,396,020,624/196,130
  6. Step 6: Final answer
    x = 440,503.85

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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.