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Finding the Third Proportional to 147,160.50 and 227,818.50

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Solution

The third proportional to 147,160.50 and 227,818.50 is: 352,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,160.50 : 227,818.50 = 227,818.50 : x
  2. Step 2: Convert to fraction form
    147,160.50/227,818.50 = 227,818.50/x
  3. Step 3: Cross multiply
    147,160.50x = 227,818.50 × 227,818.50
  4. Step 4: Simplify right side
    147,160.50x = 51,901,268,942.25
  5. Step 5: Solve for x
    x = 51,901,268,942.25/147,160.50
  6. Step 6: Final answer
    x = 352,684.78

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.