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Finding the Third Proportional to 146,815.88 and 281,967.75

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Solution

The third proportional to 146,815.88 and 281,967.75 is: 541,534.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,815.88 : 281,967.75 = 281,967.75 : x
  2. Step 2: Convert to fraction form
    146,815.88/281,967.75 = 281,967.75/x
  3. Step 3: Cross multiply
    146,815.88x = 281,967.75 × 281,967.75
  4. Step 4: Simplify right side
    146,815.88x = 79,505,812,040.06
  5. Step 5: Solve for x
    x = 79,505,812,040.06/146,815.88
  6. Step 6: Final answer
    x = 541,534.16

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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.