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Finding the Third Proportional to 147,273.19 and 226,650.66

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Solution

The third proportional to 147,273.19 and 226,650.66 is: 348,811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,273.19 : 226,650.66 = 226,650.66 : x
  2. Step 2: Convert to fraction form
    147,273.19/226,650.66 = 226,650.66/x
  3. Step 3: Cross multiply
    147,273.19x = 226,650.66 × 226,650.66
  4. Step 4: Simplify right side
    147,273.19x = 51,370,519,978.56
  5. Step 5: Solve for x
    x = 51,370,519,978.56/147,273.19
  6. Step 6: Final answer
    x = 348,811.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.