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Finding the Third Proportional to 206,412.19 and 315,773.44

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Solution

The third proportional to 206,412.19 and 315,773.44 is: 483,076.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.19 : 315,773.44 = 315,773.44 : x
  2. Step 2: Convert to fraction form
    206,412.19/315,773.44 = 315,773.44/x
  3. Step 3: Cross multiply
    206,412.19x = 315,773.44 × 315,773.44
  4. Step 4: Simplify right side
    206,412.19x = 99,712,863,830.57
  5. Step 5: Solve for x
    x = 99,712,863,830.57/206,412.19
  6. Step 6: Final answer
    x = 483,076.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.