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Finding the Third Proportional to 254,167.88 and 542,112.75

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Solution

The third proportional to 254,167.88 and 542,112.75 is: 1,156,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,167.88 : 542,112.75 = 542,112.75 : x
  2. Step 2: Convert to fraction form
    254,167.88/542,112.75 = 542,112.75/x
  3. Step 3: Cross multiply
    254,167.88x = 542,112.75 × 542,112.75
  4. Step 4: Simplify right side
    254,167.88x = 293,886,233,712.56
  5. Step 5: Solve for x
    x = 293,886,233,712.56/254,167.88
  6. Step 6: Final answer
    x = 1,156,268.21

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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.