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Finding the Third Proportional to 127,356.75 and 233,185.50

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Solution

The third proportional to 127,356.75 and 233,185.50 is: 426,954.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,356.75 : 233,185.50 = 233,185.50 : x
  2. Step 2: Convert to fraction form
    127,356.75/233,185.50 = 233,185.50/x
  3. Step 3: Cross multiply
    127,356.75x = 233,185.50 × 233,185.50
  4. Step 4: Simplify right side
    127,356.75x = 54,375,477,410.25
  5. Step 5: Solve for x
    x = 54,375,477,410.25/127,356.75
  6. Step 6: Final answer
    x = 426,954.03

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These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.