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Finding the Third Proportional to 156,476.81 and 337,899.09

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Solution

The third proportional to 156,476.81 and 337,899.09 is: 729,665.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,476.81 : 337,899.09 = 337,899.09 : x
  2. Step 2: Convert to fraction form
    156,476.81/337,899.09 = 337,899.09/x
  3. Step 3: Cross multiply
    156,476.81x = 337,899.09 × 337,899.09
  4. Step 4: Simplify right side
    156,476.81x = 114,175,797,557.07
  5. Step 5: Solve for x
    x = 114,175,797,557.07/156,476.81
  6. Step 6: Final answer
    x = 729,665.92

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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.