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Finding the Third Proportional to 83,391 and 183,390

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Solution

The third proportional to 83,391 and 183,390 is: 403,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,391 : 183,390 = 183,390 : x
  2. Step 2: Convert to fraction form
    83,391/183,390 = 183,390/x
  3. Step 3: Cross multiply
    83,391x = 183,390 × 183,390
  4. Step 4: Simplify right side
    83,391x = 33,631,892,100
  5. Step 5: Solve for x
    x = 33,631,892,100/83,391
  6. Step 6: Final answer
    x = 403,303.62

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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.