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Finding the Third Proportional to 121,365.88 and 264,034.75

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Solution

The third proportional to 121,365.88 and 264,034.75 is: 574,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,365.88 : 264,034.75 = 264,034.75 : x
  2. Step 2: Convert to fraction form
    121,365.88/264,034.75 = 264,034.75/x
  3. Step 3: Cross multiply
    121,365.88x = 264,034.75 × 264,034.75
  4. Step 4: Simplify right side
    121,365.88x = 69,714,349,207.56
  5. Step 5: Solve for x
    x = 69,714,349,207.56/121,365.88
  6. Step 6: Final answer
    x = 574,414.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.