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Finding the Third Proportional to 163,550 and 356,224

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Solution

The third proportional to 163,550 and 356,224 is: 775,882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,550 : 356,224 = 356,224 : x
  2. Step 2: Convert to fraction form
    163,550/356,224 = 356,224/x
  3. Step 3: Cross multiply
    163,550x = 356,224 × 356,224
  4. Step 4: Simplify right side
    163,550x = 126,895,538,176
  5. Step 5: Solve for x
    x = 126,895,538,176/163,550
  6. Step 6: Final answer
    x = 775,882.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.