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Finding the Third Proportional to 149,310 and 231,194.25

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Solution

The third proportional to 149,310 and 231,194.25 is: 357,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,310 : 231,194.25 = 231,194.25 : x
  2. Step 2: Convert to fraction form
    149,310/231,194.25 = 231,194.25/x
  3. Step 3: Cross multiply
    149,310x = 231,194.25 × 231,194.25
  4. Step 4: Simplify right side
    149,310x = 53,450,781,233.06
  5. Step 5: Solve for x
    x = 53,450,781,233.06/149,310
  6. Step 6: Final answer
    x = 357,985.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.