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Finding the Third Proportional to 224,941 and 475,167.50

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Solution

The third proportional to 224,941 and 475,167.50 is: 1,003,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,941 : 475,167.50 = 475,167.50 : x
  2. Step 2: Convert to fraction form
    224,941/475,167.50 = 475,167.50/x
  3. Step 3: Cross multiply
    224,941x = 475,167.50 × 475,167.50
  4. Step 4: Simplify right side
    224,941x = 225,784,153,056.25
  5. Step 5: Solve for x
    x = 225,784,153,056.25/224,941
  6. Step 6: Final answer
    x = 1,003,748.33

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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.