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Finding the Third Proportional to 156,136 and 335,953.25

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Solution

The third proportional to 156,136 and 335,953.25 is: 722,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,136 : 335,953.25 = 335,953.25 : x
  2. Step 2: Convert to fraction form
    156,136/335,953.25 = 335,953.25/x
  3. Step 3: Cross multiply
    156,136x = 335,953.25 × 335,953.25
  4. Step 4: Simplify right side
    156,136x = 112,864,586,185.56
  5. Step 5: Solve for x
    x = 112,864,586,185.56/156,136
  6. Step 6: Final answer
    x = 722,860.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.