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Finding the Third Proportional to 83,407.50 and 183,496.50

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Solution

The third proportional to 83,407.50 and 183,496.50 is: 403,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,407.50 : 183,496.50 = 183,496.50 : x
  2. Step 2: Convert to fraction form
    83,407.50/183,496.50 = 183,496.50/x
  3. Step 3: Cross multiply
    83,407.50x = 183,496.50 × 183,496.50
  4. Step 4: Simplify right side
    83,407.50x = 33,670,965,512.25
  5. Step 5: Solve for x
    x = 33,670,965,512.25/83,407.50
  6. Step 6: Final answer
    x = 403,692.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.