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Finding the Third Proportional to 175,633.88 and 377,894.25

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Solution

The third proportional to 175,633.88 and 377,894.25 is: 813,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,633.88 : 377,894.25 = 377,894.25 : x
  2. Step 2: Convert to fraction form
    175,633.88/377,894.25 = 377,894.25/x
  3. Step 3: Cross multiply
    175,633.88x = 377,894.25 × 377,894.25
  4. Step 4: Simplify right side
    175,633.88x = 142,804,064,183.06
  5. Step 5: Solve for x
    x = 142,804,064,183.06/175,633.88
  6. Step 6: Final answer
    x = 813,078.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.