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Finding the Third Proportional to 120,323 and 243,567

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Solution

The third proportional to 120,323 and 243,567 is: 493,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,323 : 243,567 = 243,567 : x
  2. Step 2: Convert to fraction form
    120,323/243,567 = 243,567/x
  3. Step 3: Cross multiply
    120,323x = 243,567 × 243,567
  4. Step 4: Simplify right side
    120,323x = 59,324,883,489
  5. Step 5: Solve for x
    x = 59,324,883,489/120,323
  6. Step 6: Final answer
    x = 493,046.91

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.