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Finding the Third Proportional to 120,580.75 and 257,771

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Solution

The third proportional to 120,580.75 and 257,771 is: 551,048.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,580.75 : 257,771 = 257,771 : x
  2. Step 2: Convert to fraction form
    120,580.75/257,771 = 257,771/x
  3. Step 3: Cross multiply
    120,580.75x = 257,771 × 257,771
  4. Step 4: Simplify right side
    120,580.75x = 66,445,888,441
  5. Step 5: Solve for x
    x = 66,445,888,441/120,580.75
  6. Step 6: Final answer
    x = 551,048.89

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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.