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Finding the Third Proportional to 171,461 and 376,051

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Solution

The third proportional to 171,461 and 376,051 is: 824,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,461 : 376,051 = 376,051 : x
  2. Step 2: Convert to fraction form
    171,461/376,051 = 376,051/x
  3. Step 3: Cross multiply
    171,461x = 376,051 × 376,051
  4. Step 4: Simplify right side
    171,461x = 141,414,354,601
  5. Step 5: Solve for x
    x = 141,414,354,601/171,461
  6. Step 6: Final answer
    x = 824,761.05

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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.