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Finding the Third Proportional to 254,133 and 541,134

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Solution

The third proportional to 254,133 and 541,134 is: 1,152,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,133 : 541,134 = 541,134 : x
  2. Step 2: Convert to fraction form
    254,133/541,134 = 541,134/x
  3. Step 3: Cross multiply
    254,133x = 541,134 × 541,134
  4. Step 4: Simplify right side
    254,133x = 292,826,005,956
  5. Step 5: Solve for x
    x = 292,826,005,956/254,133
  6. Step 6: Final answer
    x = 1,152,254.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.