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Finding the Third Proportional to 92,479 and 218,174

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Solution

The third proportional to 92,479 and 218,174 is: 514,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,479 : 218,174 = 218,174 : x
  2. Step 2: Convert to fraction form
    92,479/218,174 = 218,174/x
  3. Step 3: Cross multiply
    92,479x = 218,174 × 218,174
  4. Step 4: Simplify right side
    92,479x = 47,599,894,276
  5. Step 5: Solve for x
    x = 47,599,894,276/92,479
  6. Step 6: Final answer
    x = 514,710.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.