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Finding the Third Proportional to 254,142 and 543,186

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Solution

The third proportional to 254,142 and 543,186 is: 1,160,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,142 : 543,186 = 543,186 : x
  2. Step 2: Convert to fraction form
    254,142/543,186 = 543,186/x
  3. Step 3: Cross multiply
    254,142x = 543,186 × 543,186
  4. Step 4: Simplify right side
    254,142x = 295,051,030,596
  5. Step 5: Solve for x
    x = 295,051,030,596/254,142
  6. Step 6: Final answer
    x = 1,160,969.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.