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Finding the Third Proportional to 146,532 and 281,392

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Solution

The third proportional to 146,532 and 281,392 is: 540,369.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,532 : 281,392 = 281,392 : x
  2. Step 2: Convert to fraction form
    146,532/281,392 = 281,392/x
  3. Step 3: Cross multiply
    146,532x = 281,392 × 281,392
  4. Step 4: Simplify right side
    146,532x = 79,181,457,664
  5. Step 5: Solve for x
    x = 79,181,457,664/146,532
  6. Step 6: Final answer
    x = 540,369.73

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.