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Finding the Third Proportional to 116,907.75 and 251,298

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Solution

The third proportional to 116,907.75 and 251,298 is: 540,175.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,907.75 : 251,298 = 251,298 : x
  2. Step 2: Convert to fraction form
    116,907.75/251,298 = 251,298/x
  3. Step 3: Cross multiply
    116,907.75x = 251,298 × 251,298
  4. Step 4: Simplify right side
    116,907.75x = 63,150,684,804
  5. Step 5: Solve for x
    x = 63,150,684,804/116,907.75
  6. Step 6: Final answer
    x = 540,175.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.