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Finding the Third Proportional to 137,662.50 and 200,500.50

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Solution

The third proportional to 137,662.50 and 200,500.50 is: 292,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,662.50 : 200,500.50 = 200,500.50 : x
  2. Step 2: Convert to fraction form
    137,662.50/200,500.50 = 200,500.50/x
  3. Step 3: Cross multiply
    137,662.50x = 200,500.50 × 200,500.50
  4. Step 4: Simplify right side
    137,662.50x = 40,200,450,500.25
  5. Step 5: Solve for x
    x = 40,200,450,500.25/137,662.50
  6. Step 6: Final answer
    x = 292,021.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.