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Finding the Third Proportional to 149,655.38 and 224,475.75

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Solution

The third proportional to 149,655.38 and 224,475.75 is: 336,702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,655.38 : 224,475.75 = 224,475.75 : x
  2. Step 2: Convert to fraction form
    149,655.38/224,475.75 = 224,475.75/x
  3. Step 3: Cross multiply
    149,655.38x = 224,475.75 × 224,475.75
  4. Step 4: Simplify right side
    149,655.38x = 50,389,362,338.06
  5. Step 5: Solve for x
    x = 50,389,362,338.06/149,655.38
  6. Step 6: Final answer
    x = 336,702.66

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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.