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Finding the Third Proportional to 118,554 and 210,792.75

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Solution

The third proportional to 118,554 and 210,792.75 is: 374,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,554 : 210,792.75 = 210,792.75 : x
  2. Step 2: Convert to fraction form
    118,554/210,792.75 = 210,792.75/x
  3. Step 3: Cross multiply
    118,554x = 210,792.75 × 210,792.75
  4. Step 4: Simplify right side
    118,554x = 44,433,583,452.56
  5. Step 5: Solve for x
    x = 44,433,583,452.56/118,554
  6. Step 6: Final answer
    x = 374,796.16

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.