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Finding the Third Proportional to 74,322 and 163,404

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Solution

The third proportional to 74,322 and 163,404 is: 359,259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,322 : 163,404 = 163,404 : x
  2. Step 2: Convert to fraction form
    74,322/163,404 = 163,404/x
  3. Step 3: Cross multiply
    74,322x = 163,404 × 163,404
  4. Step 4: Simplify right side
    74,322x = 26,700,867,216
  5. Step 5: Solve for x
    x = 26,700,867,216/74,322
  6. Step 6: Final answer
    x = 359,259.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.