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Finding the Third Proportional to 250,857 and 540,108

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Solution

The third proportional to 250,857 and 540,108 is: 1,162,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,857 : 540,108 = 540,108 : x
  2. Step 2: Convert to fraction form
    250,857/540,108 = 540,108/x
  3. Step 3: Cross multiply
    250,857x = 540,108 × 540,108
  4. Step 4: Simplify right side
    250,857x = 291,716,651,664
  5. Step 5: Solve for x
    x = 291,716,651,664/250,857
  6. Step 6: Final answer
    x = 1,162,880.25

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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.