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Finding the Third Proportional to 156,948 and 335,444

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Solution

The third proportional to 156,948 and 335,444 is: 716,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,948 : 335,444 = 335,444 : x
  2. Step 2: Convert to fraction form
    156,948/335,444 = 335,444/x
  3. Step 3: Cross multiply
    156,948x = 335,444 × 335,444
  4. Step 4: Simplify right side
    156,948x = 112,522,677,136
  5. Step 5: Solve for x
    x = 112,522,677,136/156,948
  6. Step 6: Final answer
    x = 716,942.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.