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Finding the Third Proportional to 149,546.25 and 229,862.25

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Solution

The third proportional to 149,546.25 and 229,862.25 is: 353,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,546.25 : 229,862.25 = 229,862.25 : x
  2. Step 2: Convert to fraction form
    149,546.25/229,862.25 = 229,862.25/x
  3. Step 3: Cross multiply
    149,546.25x = 229,862.25 × 229,862.25
  4. Step 4: Simplify right side
    149,546.25x = 52,836,653,975.06
  5. Step 5: Solve for x
    x = 52,836,653,975.06/149,546.25
  6. Step 6: Final answer
    x = 353,313.13

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Why These Related Problems?

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