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Finding the Third Proportional to 163,478.25 and 365,229

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Solution

The third proportional to 163,478.25 and 365,229 is: 815,963.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,478.25 : 365,229 = 365,229 : x
  2. Step 2: Convert to fraction form
    163,478.25/365,229 = 365,229/x
  3. Step 3: Cross multiply
    163,478.25x = 365,229 × 365,229
  4. Step 4: Simplify right side
    163,478.25x = 133,392,222,441
  5. Step 5: Solve for x
    x = 133,392,222,441/163,478.25
  6. Step 6: Final answer
    x = 815,963.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.