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Finding the Third Proportional to 120,207.75 and 257,091.75

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Solution

The third proportional to 120,207.75 and 257,091.75 is: 549,849.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,207.75 : 257,091.75 = 257,091.75 : x
  2. Step 2: Convert to fraction form
    120,207.75/257,091.75 = 257,091.75/x
  3. Step 3: Cross multiply
    120,207.75x = 257,091.75 × 257,091.75
  4. Step 4: Simplify right side
    120,207.75x = 66,096,167,918.06
  5. Step 5: Solve for x
    x = 66,096,167,918.06/120,207.75
  6. Step 6: Final answer
    x = 549,849.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.