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Finding the Third Proportional to 179,920.13 and 384,751.69

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Solution

The third proportional to 179,920.13 and 384,751.69 is: 822,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,920.13 : 384,751.69 = 384,751.69 : x
  2. Step 2: Convert to fraction form
    179,920.13/384,751.69 = 384,751.69/x
  3. Step 3: Cross multiply
    179,920.13x = 384,751.69 × 384,751.69
  4. Step 4: Simplify right side
    179,920.13x = 148,033,861,034.10
  5. Step 5: Solve for x
    x = 148,033,861,034.10/179,920.13
  6. Step 6: Final answer
    x = 822,775.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.