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Finding the Third Proportional to 163,324 and 211,284

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Solution

The third proportional to 163,324 and 211,284 is: 273,327.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,324 : 211,284 = 211,284 : x
  2. Step 2: Convert to fraction form
    163,324/211,284 = 211,284/x
  3. Step 3: Cross multiply
    163,324x = 211,284 × 211,284
  4. Step 4: Simplify right side
    163,324x = 44,640,928,656
  5. Step 5: Solve for x
    x = 44,640,928,656/163,324
  6. Step 6: Final answer
    x = 273,327.43

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.