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Finding the Third Proportional to 147,670 and 227,256

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Solution

The third proportional to 147,670 and 227,256 is: 349,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,670 : 227,256 = 227,256 : x
  2. Step 2: Convert to fraction form
    147,670/227,256 = 227,256/x
  3. Step 3: Cross multiply
    147,670x = 227,256 × 227,256
  4. Step 4: Simplify right side
    147,670x = 51,645,289,536
  5. Step 5: Solve for x
    x = 51,645,289,536/147,670
  6. Step 6: Final answer
    x = 349,734.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.