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Finding the Third Proportional to 254,150 and 543,202

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Solution

The third proportional to 254,150 and 543,202 is: 1,161,001.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,150 : 543,202 = 543,202 : x
  2. Step 2: Convert to fraction form
    254,150/543,202 = 543,202/x
  3. Step 3: Cross multiply
    254,150x = 543,202 × 543,202
  4. Step 4: Simplify right side
    254,150x = 295,068,412,804
  5. Step 5: Solve for x
    x = 295,068,412,804/254,150
  6. Step 6: Final answer
    x = 1,161,001.03

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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.