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Finding the Third Proportional to 171,889 and 376,960

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Solution

The third proportional to 171,889 and 376,960 is: 826,689.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,889 : 376,960 = 376,960 : x
  2. Step 2: Convert to fraction form
    171,889/376,960 = 376,960/x
  3. Step 3: Cross multiply
    171,889x = 376,960 × 376,960
  4. Step 4: Simplify right side
    171,889x = 142,098,841,600
  5. Step 5: Solve for x
    x = 142,098,841,600/171,889
  6. Step 6: Final answer
    x = 826,689.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.