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Finding the Third Proportional to 149,602.50 and 229,936.50

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Solution

The third proportional to 149,602.50 and 229,936.50 is: 353,408.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,602.50 : 229,936.50 = 229,936.50 : x
  2. Step 2: Convert to fraction form
    149,602.50/229,936.50 = 229,936.50/x
  3. Step 3: Cross multiply
    149,602.50x = 229,936.50 × 229,936.50
  4. Step 4: Simplify right side
    149,602.50x = 52,870,794,032.25
  5. Step 5: Solve for x
    x = 52,870,794,032.25/149,602.50
  6. Step 6: Final answer
    x = 353,408.49

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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.