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Finding the Third Proportional to 119,747 and 199,570

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Solution

The third proportional to 119,747 and 199,570 is: 332,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,747 : 199,570 = 199,570 : x
  2. Step 2: Convert to fraction form
    119,747/199,570 = 199,570/x
  3. Step 3: Cross multiply
    119,747x = 199,570 × 199,570
  4. Step 4: Simplify right side
    119,747x = 39,828,184,900
  5. Step 5: Solve for x
    x = 39,828,184,900/119,747
  6. Step 6: Final answer
    x = 332,602.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.