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Finding the Third Proportional to 74,174 and 164,363

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Solution

The third proportional to 74,174 and 164,363 is: 364,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,174 : 164,363 = 164,363 : x
  2. Step 2: Convert to fraction form
    74,174/164,363 = 164,363/x
  3. Step 3: Cross multiply
    74,174x = 164,363 × 164,363
  4. Step 4: Simplify right side
    74,174x = 27,015,195,769
  5. Step 5: Solve for x
    x = 27,015,195,769/74,174
  6. Step 6: Final answer
    x = 364,213.82

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.