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Finding the Third Proportional to 254,165 and 550,171.75

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Solution

The third proportional to 254,165 and 550,171.75 is: 1,190,915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,165 : 550,171.75 = 550,171.75 : x
  2. Step 2: Convert to fraction form
    254,165/550,171.75 = 550,171.75/x
  3. Step 3: Cross multiply
    254,165x = 550,171.75 × 550,171.75
  4. Step 4: Simplify right side
    254,165x = 302,688,954,498.06
  5. Step 5: Solve for x
    x = 302,688,954,498.06/254,165
  6. Step 6: Final answer
    x = 1,190,915.17

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Why These Related Problems?

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