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Finding the Third Proportional to 188,152.88 and 406,977.75

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Solution

The third proportional to 188,152.88 and 406,977.75 is: 880,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,152.88 : 406,977.75 = 406,977.75 : x
  2. Step 2: Convert to fraction form
    188,152.88/406,977.75 = 406,977.75/x
  3. Step 3: Cross multiply
    188,152.88x = 406,977.75 × 406,977.75
  4. Step 4: Simplify right side
    188,152.88x = 165,630,888,995.06
  5. Step 5: Solve for x
    x = 165,630,888,995.06/188,152.88
  6. Step 6: Final answer
    x = 880,299.54

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.