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Finding the Third Proportional to 254,161.13 and 550,164.38

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Solution

The third proportional to 254,161.13 and 550,164.38 is: 1,190,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,161.13 : 550,164.38 = 550,164.38 : x
  2. Step 2: Convert to fraction form
    254,161.13/550,164.38 = 550,164.38/x
  3. Step 3: Cross multiply
    254,161.13x = 550,164.38 × 550,164.38
  4. Step 4: Simplify right side
    254,161.13x = 302,680,839,519.14
  5. Step 5: Solve for x
    x = 302,680,839,519.14/254,161.13
  6. Step 6: Final answer
    x = 1,190,901.40

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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.