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Finding the Third Proportional to 147,095.25 and 227,299.88

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Solution

The third proportional to 147,095.25 and 227,299.88 is: 351,236.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,095.25 : 227,299.88 = 227,299.88 : x
  2. Step 2: Convert to fraction form
    147,095.25/227,299.88 = 227,299.88/x
  3. Step 3: Cross multiply
    147,095.25x = 227,299.88 × 227,299.88
  4. Step 4: Simplify right side
    147,095.25x = 51,665,233,175.02
  5. Step 5: Solve for x
    x = 51,665,233,175.02/147,095.25
  6. Step 6: Final answer
    x = 351,236.58

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Why These Related Problems?

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