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Finding the Third Proportional to 147,841.88 and 226,197.56

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Solution

The third proportional to 147,841.88 and 226,197.56 is: 346,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,841.88 : 226,197.56 = 226,197.56 : x
  2. Step 2: Convert to fraction form
    147,841.88/226,197.56 = 226,197.56/x
  3. Step 3: Cross multiply
    147,841.88x = 226,197.56 × 226,197.56
  4. Step 4: Simplify right side
    147,841.88x = 51,165,337,280.94
  5. Step 5: Solve for x
    x = 51,165,337,280.94/147,841.88
  6. Step 6: Final answer
    x = 346,081.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.