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Finding the Third Proportional to 74,338 and 163,436

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Solution

The third proportional to 74,338 and 163,436 is: 359,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,338 : 163,436 = 163,436 : x
  2. Step 2: Convert to fraction form
    74,338/163,436 = 163,436/x
  3. Step 3: Cross multiply
    74,338x = 163,436 × 163,436
  4. Step 4: Simplify right side
    74,338x = 26,711,326,096
  5. Step 5: Solve for x
    x = 26,711,326,096/74,338
  6. Step 6: Final answer
    x = 359,322.64

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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.