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Finding the Third Proportional to 146,245.50 and 316,477.13

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Solution

The third proportional to 146,245.50 and 316,477.13 is: 684,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,245.50 : 316,477.13 = 316,477.13 : x
  2. Step 2: Convert to fraction form
    146,245.50/316,477.13 = 316,477.13/x
  3. Step 3: Cross multiply
    146,245.50x = 316,477.13 × 316,477.13
  4. Step 4: Simplify right side
    146,245.50x = 100,157,770,648.27
  5. Step 5: Solve for x
    x = 100,157,770,648.27/146,245.50
  6. Step 6: Final answer
    x = 684,860.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.