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Finding the Third Proportional to 104,306 and 214,141

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Solution

The third proportional to 104,306 and 214,141 is: 439,633.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,306 : 214,141 = 214,141 : x
  2. Step 2: Convert to fraction form
    104,306/214,141 = 214,141/x
  3. Step 3: Cross multiply
    104,306x = 214,141 × 214,141
  4. Step 4: Simplify right side
    104,306x = 45,856,367,881
  5. Step 5: Solve for x
    x = 45,856,367,881/104,306
  6. Step 6: Final answer
    x = 439,633.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.