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Finding the Third Proportional to 149,068.50 and 223,012.50

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Solution

The third proportional to 149,068.50 and 223,012.50 is: 333,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,068.50 : 223,012.50 = 223,012.50 : x
  2. Step 2: Convert to fraction form
    149,068.50/223,012.50 = 223,012.50/x
  3. Step 3: Cross multiply
    149,068.50x = 223,012.50 × 223,012.50
  4. Step 4: Simplify right side
    149,068.50x = 49,734,575,156.25
  5. Step 5: Solve for x
    x = 49,734,575,156.25/149,068.50
  6. Step 6: Final answer
    x = 333,635.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.