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Finding the Third Proportional to 224,935.88 and 475,158.75

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Solution

The third proportional to 224,935.88 and 475,158.75 is: 1,003,734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,935.88 : 475,158.75 = 475,158.75 : x
  2. Step 2: Convert to fraction form
    224,935.88/475,158.75 = 475,158.75/x
  3. Step 3: Cross multiply
    224,935.88x = 475,158.75 × 475,158.75
  4. Step 4: Simplify right side
    224,935.88x = 225,775,837,701.56
  5. Step 5: Solve for x
    x = 225,775,837,701.56/224,935.88
  6. Step 6: Final answer
    x = 1,003,734.23

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.