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Finding the Third Proportional to 147,513.50 and 227,786.50

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Solution

The third proportional to 147,513.50 and 227,786.50 is: 351,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,513.50 : 227,786.50 = 227,786.50 : x
  2. Step 2: Convert to fraction form
    147,513.50/227,786.50 = 227,786.50/x
  3. Step 3: Cross multiply
    147,513.50x = 227,786.50 × 227,786.50
  4. Step 4: Simplify right side
    147,513.50x = 51,886,689,582.25
  5. Step 5: Solve for x
    x = 51,886,689,582.25/147,513.50
  6. Step 6: Final answer
    x = 351,741.97

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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.