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Finding the Third Proportional to 146,796 and 281,926.50

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Solution

The third proportional to 146,796 and 281,926.50 is: 541,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,796 : 281,926.50 = 281,926.50 : x
  2. Step 2: Convert to fraction form
    146,796/281,926.50 = 281,926.50/x
  3. Step 3: Cross multiply
    146,796x = 281,926.50 × 281,926.50
  4. Step 4: Simplify right side
    146,796x = 79,482,551,402.25
  5. Step 5: Solve for x
    x = 79,482,551,402.25/146,796
  6. Step 6: Final answer
    x = 541,449.03

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