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Finding the Third Proportional to 183,070.13 and 396,588.38

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Solution

The third proportional to 183,070.13 and 396,588.38 is: 859,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,070.13 : 396,588.38 = 396,588.38 : x
  2. Step 2: Convert to fraction form
    183,070.13/396,588.38 = 396,588.38/x
  3. Step 3: Cross multiply
    183,070.13x = 396,588.38 × 396,588.38
  4. Step 4: Simplify right side
    183,070.13x = 157,282,339,185.14
  5. Step 5: Solve for x
    x = 157,282,339,185.14/183,070.13
  6. Step 6: Final answer
    x = 859,137.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.