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Finding the Third Proportional to 254,178 and 550,194

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Solution

The third proportional to 254,178 and 550,194 is: 1,190,950.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,178 : 550,194 = 550,194 : x
  2. Step 2: Convert to fraction form
    254,178/550,194 = 550,194/x
  3. Step 3: Cross multiply
    254,178x = 550,194 × 550,194
  4. Step 4: Simplify right side
    254,178x = 302,713,437,636
  5. Step 5: Solve for x
    x = 302,713,437,636/254,178
  6. Step 6: Final answer
    x = 1,190,950.58

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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.