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Finding the Third Proportional to 116,704.13 and 256,006.13

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Solution

The third proportional to 116,704.13 and 256,006.13 is: 561,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,704.13 : 256,006.13 = 256,006.13 : x
  2. Step 2: Convert to fraction form
    116,704.13/256,006.13 = 256,006.13/x
  3. Step 3: Cross multiply
    116,704.13x = 256,006.13 × 256,006.13
  4. Step 4: Simplify right side
    116,704.13x = 65,539,136,037.52
  5. Step 5: Solve for x
    x = 65,539,136,037.52/116,704.13
  6. Step 6: Final answer
    x = 561,583.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.