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Finding the Third Proportional to 85,354 and 183,784

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Solution

The third proportional to 85,354 and 183,784 is: 395,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,354 : 183,784 = 183,784 : x
  2. Step 2: Convert to fraction form
    85,354/183,784 = 183,784/x
  3. Step 3: Cross multiply
    85,354x = 183,784 × 183,784
  4. Step 4: Simplify right side
    85,354x = 33,776,558,656
  5. Step 5: Solve for x
    x = 33,776,558,656/85,354
  6. Step 6: Final answer
    x = 395,723.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.