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Finding the Third Proportional to 74,323 and 163,406

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Solution

The third proportional to 74,323 and 163,406 is: 359,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,323 : 163,406 = 163,406 : x
  2. Step 2: Convert to fraction form
    74,323/163,406 = 163,406/x
  3. Step 3: Cross multiply
    74,323x = 163,406 × 163,406
  4. Step 4: Simplify right side
    74,323x = 26,701,520,836
  5. Step 5: Solve for x
    x = 26,701,520,836/74,323
  6. Step 6: Final answer
    x = 359,263.23

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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.