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Finding the Third Proportional to 214,906.50 and 469,179

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Solution

The third proportional to 214,906.50 and 469,179 is: 1,024,300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,906.50 : 469,179 = 469,179 : x
  2. Step 2: Convert to fraction form
    214,906.50/469,179 = 469,179/x
  3. Step 3: Cross multiply
    214,906.50x = 469,179 × 469,179
  4. Step 4: Simplify right side
    214,906.50x = 220,128,934,041
  5. Step 5: Solve for x
    x = 220,128,934,041/214,906.50
  6. Step 6: Final answer
    x = 1,024,300.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.