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Finding the Third Proportional to 272,174 and 423,164

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Solution

The third proportional to 272,174 and 423,164 is: 657,916.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,174 : 423,164 = 423,164 : x
  2. Step 2: Convert to fraction form
    272,174/423,164 = 423,164/x
  3. Step 3: Cross multiply
    272,174x = 423,164 × 423,164
  4. Step 4: Simplify right side
    272,174x = 179,067,770,896
  5. Step 5: Solve for x
    x = 179,067,770,896/272,174
  6. Step 6: Final answer
    x = 657,916.52

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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.