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Finding the Third Proportional to 147,172 and 227,828

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Solution

The third proportional to 147,172 and 227,828 is: 352,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,172 : 227,828 = 227,828 : x
  2. Step 2: Convert to fraction form
    147,172/227,828 = 227,828/x
  3. Step 3: Cross multiply
    147,172x = 227,828 × 227,828
  4. Step 4: Simplify right side
    147,172x = 51,905,597,584
  5. Step 5: Solve for x
    x = 51,905,597,584/147,172
  6. Step 6: Final answer
    x = 352,686.64

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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.