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Finding the Third Proportional to 250,893 and 541,152

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Solution

The third proportional to 250,893 and 541,152 is: 1,167,212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,893 : 541,152 = 541,152 : x
  2. Step 2: Convert to fraction form
    250,893/541,152 = 541,152/x
  3. Step 3: Cross multiply
    250,893x = 541,152 × 541,152
  4. Step 4: Simplify right side
    250,893x = 292,845,487,104
  5. Step 5: Solve for x
    x = 292,845,487,104/250,893
  6. Step 6: Final answer
    x = 1,167,212.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.