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Finding the Third Proportional to 84,457 and 183,516.75

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Solution

The third proportional to 84,457 and 183,516.75 is: 398,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,457 : 183,516.75 = 183,516.75 : x
  2. Step 2: Convert to fraction form
    84,457/183,516.75 = 183,516.75/x
  3. Step 3: Cross multiply
    84,457x = 183,516.75 × 183,516.75
  4. Step 4: Simplify right side
    84,457x = 33,678,397,530.56
  5. Step 5: Solve for x
    x = 33,678,397,530.56/84,457
  6. Step 6: Final answer
    x = 398,763.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.