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Finding the Third Proportional to 254,033.50 and 371,513.75

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Solution

The third proportional to 254,033.50 and 371,513.75 is: 543,323.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,033.50 : 371,513.75 = 371,513.75 : x
  2. Step 2: Convert to fraction form
    254,033.50/371,513.75 = 371,513.75/x
  3. Step 3: Cross multiply
    254,033.50x = 371,513.75 × 371,513.75
  4. Step 4: Simplify right side
    254,033.50x = 138,022,466,439.06
  5. Step 5: Solve for x
    x = 138,022,466,439.06/254,033.50
  6. Step 6: Final answer
    x = 543,323.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.