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Finding the Third Proportional to 224,237.25 and 335,738.25

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Solution

The third proportional to 224,237.25 and 335,738.25 is: 502,682.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,237.25 : 335,738.25 = 335,738.25 : x
  2. Step 2: Convert to fraction form
    224,237.25/335,738.25 = 335,738.25/x
  3. Step 3: Cross multiply
    224,237.25x = 335,738.25 × 335,738.25
  4. Step 4: Simplify right side
    224,237.25x = 112,720,172,513.06
  5. Step 5: Solve for x
    x = 112,720,172,513.06/224,237.25
  6. Step 6: Final answer
    x = 502,682.64

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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.