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Finding the Third Proportional to 179,379 and 380,623.50

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Solution

The third proportional to 179,379 and 380,623.50 is: 807,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,379 : 380,623.50 = 380,623.50 : x
  2. Step 2: Convert to fraction form
    179,379/380,623.50 = 380,623.50/x
  3. Step 3: Cross multiply
    179,379x = 380,623.50 × 380,623.50
  4. Step 4: Simplify right side
    179,379x = 144,874,248,752.25
  5. Step 5: Solve for x
    x = 144,874,248,752.25/179,379
  6. Step 6: Final answer
    x = 807,643.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.