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Finding the Third Proportional to 250,867.50 and 540,615

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Solution

The third proportional to 250,867.50 and 540,615 is: 1,165,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,867.50 : 540,615 = 540,615 : x
  2. Step 2: Convert to fraction form
    250,867.50/540,615 = 540,615/x
  3. Step 3: Cross multiply
    250,867.50x = 540,615 × 540,615
  4. Step 4: Simplify right side
    250,867.50x = 292,264,578,225
  5. Step 5: Solve for x
    x = 292,264,578,225/250,867.50
  6. Step 6: Final answer
    x = 1,165,015.71

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Why These Related Problems?

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