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Finding the Third Proportional to 148,809 and 224,555.25

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Solution

The third proportional to 148,809 and 224,555.25 is: 338,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,809 : 224,555.25 = 224,555.25 : x
  2. Step 2: Convert to fraction form
    148,809/224,555.25 = 224,555.25/x
  3. Step 3: Cross multiply
    148,809x = 224,555.25 × 224,555.25
  4. Step 4: Simplify right side
    148,809x = 50,425,060,302.56
  5. Step 5: Solve for x
    x = 50,425,060,302.56/148,809
  6. Step 6: Final answer
    x = 338,857.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.