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Finding the Third Proportional to 183,525.75 and 406,356.75

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Solution

The third proportional to 183,525.75 and 406,356.75 is: 899,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,525.75 : 406,356.75 = 406,356.75 : x
  2. Step 2: Convert to fraction form
    183,525.75/406,356.75 = 406,356.75/x
  3. Step 3: Cross multiply
    183,525.75x = 406,356.75 × 406,356.75
  4. Step 4: Simplify right side
    183,525.75x = 165,125,808,270.56
  5. Step 5: Solve for x
    x = 165,125,808,270.56/183,525.75
  6. Step 6: Final answer
    x = 899,741.91

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.