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Finding the Third Proportional to 183,945.94 and 396,915.19

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Solution

The third proportional to 183,945.94 and 396,915.19 is: 856,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,945.94 : 396,915.19 = 396,915.19 : x
  2. Step 2: Convert to fraction form
    183,945.94/396,915.19 = 396,915.19/x
  3. Step 3: Cross multiply
    183,945.94x = 396,915.19 × 396,915.19
  4. Step 4: Simplify right side
    183,945.94x = 157,541,666,068.16
  5. Step 5: Solve for x
    x = 157,541,666,068.16/183,945.94
  6. Step 6: Final answer
    x = 856,456.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.