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Finding the Third Proportional to 163,100 and 229,685

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Solution

The third proportional to 163,100 and 229,685 is: 323,453.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,100 : 229,685 = 229,685 : x
  2. Step 2: Convert to fraction form
    163,100/229,685 = 229,685/x
  3. Step 3: Cross multiply
    163,100x = 229,685 × 229,685
  4. Step 4: Simplify right side
    163,100x = 52,755,199,225
  5. Step 5: Solve for x
    x = 52,755,199,225/163,100
  6. Step 6: Final answer
    x = 323,453.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.