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Finding the Third Proportional to 148,671 and 226,492.50

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Solution

The third proportional to 148,671 and 226,492.50 is: 345,049.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,671 : 226,492.50 = 226,492.50 : x
  2. Step 2: Convert to fraction form
    148,671/226,492.50 = 226,492.50/x
  3. Step 3: Cross multiply
    148,671x = 226,492.50 × 226,492.50
  4. Step 4: Simplify right side
    148,671x = 51,298,852,556.25
  5. Step 5: Solve for x
    x = 51,298,852,556.25/148,671
  6. Step 6: Final answer
    x = 345,049.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.