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Finding the Third Proportional to 147,166 and 227,823

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Solution

The third proportional to 147,166 and 227,823 is: 352,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,166 : 227,823 = 227,823 : x
  2. Step 2: Convert to fraction form
    147,166/227,823 = 227,823/x
  3. Step 3: Cross multiply
    147,166x = 227,823 × 227,823
  4. Step 4: Simplify right side
    147,166x = 51,903,319,329
  5. Step 5: Solve for x
    x = 51,903,319,329/147,166
  6. Step 6: Final answer
    x = 352,685.53

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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.