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Finding the Third Proportional to 84,239.75 and 183,240.75

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Solution

The third proportional to 84,239.75 and 183,240.75 is: 398,590.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,239.75 : 183,240.75 = 183,240.75 : x
  2. Step 2: Convert to fraction form
    84,239.75/183,240.75 = 183,240.75/x
  3. Step 3: Cross multiply
    84,239.75x = 183,240.75 × 183,240.75
  4. Step 4: Simplify right side
    84,239.75x = 33,577,172,460.56
  5. Step 5: Solve for x
    x = 33,577,172,460.56/84,239.75
  6. Step 6: Final answer
    x = 398,590.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.