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Finding the Third Proportional to 260,166 and 559,152

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Solution

The third proportional to 260,166 and 559,152 is: 1,201,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,166 : 559,152 = 559,152 : x
  2. Step 2: Convert to fraction form
    260,166/559,152 = 559,152/x
  3. Step 3: Cross multiply
    260,166x = 559,152 × 559,152
  4. Step 4: Simplify right side
    260,166x = 312,650,959,104
  5. Step 5: Solve for x
    x = 312,650,959,104/260,166
  6. Step 6: Final answer
    x = 1,201,736.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.