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Finding the Third Proportional to 250,643.75 and 541,238.50

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Solution

The third proportional to 250,643.75 and 541,238.50 is: 1,168,746.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,643.75 : 541,238.50 = 541,238.50 : x
  2. Step 2: Convert to fraction form
    250,643.75/541,238.50 = 541,238.50/x
  3. Step 3: Cross multiply
    250,643.75x = 541,238.50 × 541,238.50
  4. Step 4: Simplify right side
    250,643.75x = 292,939,113,882.25
  5. Step 5: Solve for x
    x = 292,939,113,882.25/250,643.75
  6. Step 6: Final answer
    x = 1,168,746.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.