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Finding the Third Proportional to 84,358.50 and 183,480

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Solution

The third proportional to 84,358.50 and 183,480 is: 399,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,358.50 : 183,480 = 183,480 : x
  2. Step 2: Convert to fraction form
    84,358.50/183,480 = 183,480/x
  3. Step 3: Cross multiply
    84,358.50x = 183,480 × 183,480
  4. Step 4: Simplify right side
    84,358.50x = 33,664,910,400
  5. Step 5: Solve for x
    x = 33,664,910,400/84,358.50
  6. Step 6: Final answer
    x = 399,069.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.