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Finding the Third Proportional to 119,904 and 243,170

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Solution

The third proportional to 119,904 and 243,170 is: 493,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,904 : 243,170 = 243,170 : x
  2. Step 2: Convert to fraction form
    119,904/243,170 = 243,170/x
  3. Step 3: Cross multiply
    119,904x = 243,170 × 243,170
  4. Step 4: Simplify right side
    119,904x = 59,131,648,900
  5. Step 5: Solve for x
    x = 59,131,648,900/119,904
  6. Step 6: Final answer
    x = 493,158.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.