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Finding the Third Proportional to 120,466 and 176,379

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Solution

The third proportional to 120,466 and 176,379 is: 258,243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,466 : 176,379 = 176,379 : x
  2. Step 2: Convert to fraction form
    120,466/176,379 = 176,379/x
  3. Step 3: Cross multiply
    120,466x = 176,379 × 176,379
  4. Step 4: Simplify right side
    120,466x = 31,109,551,641
  5. Step 5: Solve for x
    x = 31,109,551,641/120,466
  6. Step 6: Final answer
    x = 258,243.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.