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Finding the Third Proportional to 84,434.50 and 183,503

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Solution

The third proportional to 84,434.50 and 183,503 is: 398,810.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,434.50 : 183,503 = 183,503 : x
  2. Step 2: Convert to fraction form
    84,434.50/183,503 = 183,503/x
  3. Step 3: Cross multiply
    84,434.50x = 183,503 × 183,503
  4. Step 4: Simplify right side
    84,434.50x = 33,673,351,009
  5. Step 5: Solve for x
    x = 33,673,351,009/84,434.50
  6. Step 6: Final answer
    x = 398,810.33

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Why These Related Problems?

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