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Finding the Third Proportional to 149,546.25 and 229,864.08

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Solution

The third proportional to 149,546.25 and 229,864.08 is: 353,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,546.25 : 229,864.08 = 229,864.08 : x
  2. Step 2: Convert to fraction form
    149,546.25/229,864.08 = 229,864.08/x
  3. Step 3: Cross multiply
    149,546.25x = 229,864.08 × 229,864.08
  4. Step 4: Simplify right side
    149,546.25x = 52,837,494,412.26
  5. Step 5: Solve for x
    x = 52,837,494,412.26/149,546.25
  6. Step 6: Final answer
    x = 353,318.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.