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Finding the Third Proportional to 233,181 and 354,327.75

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Solution

The third proportional to 233,181 and 354,327.75 is: 538,415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,181 : 354,327.75 = 354,327.75 : x
  2. Step 2: Convert to fraction form
    233,181/354,327.75 = 354,327.75/x
  3. Step 3: Cross multiply
    233,181x = 354,327.75 × 354,327.75
  4. Step 4: Simplify right side
    233,181x = 125,548,154,420.06
  5. Step 5: Solve for x
    x = 125,548,154,420.06/233,181
  6. Step 6: Final answer
    x = 538,415.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.