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Finding the Third Proportional to 146,157.75 and 281,512.13

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Solution

The third proportional to 146,157.75 and 281,512.13 is: 542,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,157.75 : 281,512.13 = 281,512.13 : x
  2. Step 2: Convert to fraction form
    146,157.75/281,512.13 = 281,512.13/x
  3. Step 3: Cross multiply
    146,157.75x = 281,512.13 × 281,512.13
  4. Step 4: Simplify right side
    146,157.75x = 79,249,076,522.02
  5. Step 5: Solve for x
    x = 79,249,076,522.02/146,157.75
  6. Step 6: Final answer
    x = 542,216.04

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.