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Finding the Third Proportional to 131,599.69 and 285,069.38

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Solution

The third proportional to 131,599.69 and 285,069.38 is: 617,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,599.69 : 285,069.38 = 285,069.38 : x
  2. Step 2: Convert to fraction form
    131,599.69/285,069.38 = 285,069.38/x
  3. Step 3: Cross multiply
    131,599.69x = 285,069.38 × 285,069.38
  4. Step 4: Simplify right side
    131,599.69x = 81,264,548,562.89
  5. Step 5: Solve for x
    x = 81,264,548,562.89/131,599.69
  6. Step 6: Final answer
    x = 617,513.23

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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.