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Finding the Third Proportional to 272,163 and 423,149

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Solution

The third proportional to 272,163 and 423,149 is: 657,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,163 : 423,149 = 423,149 : x
  2. Step 2: Convert to fraction form
    272,163/423,149 = 423,149/x
  3. Step 3: Cross multiply
    272,163x = 423,149 × 423,149
  4. Step 4: Simplify right side
    272,163x = 179,055,076,201
  5. Step 5: Solve for x
    x = 179,055,076,201/272,163
  6. Step 6: Final answer
    x = 657,896.47

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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.