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Finding the Third Proportional to 178,827 and 250,641

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Solution

The third proportional to 178,827 and 250,641 is: 351,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,827 : 250,641 = 250,641 : x
  2. Step 2: Convert to fraction form
    178,827/250,641 = 250,641/x
  3. Step 3: Cross multiply
    178,827x = 250,641 × 250,641
  4. Step 4: Simplify right side
    178,827x = 62,820,910,881
  5. Step 5: Solve for x
    x = 62,820,910,881/178,827
  6. Step 6: Final answer
    x = 351,294.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.