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Finding the Third Proportional to 74,322 and 163,338

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Solution

The third proportional to 74,322 and 163,338 is: 358,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,322 : 163,338 = 163,338 : x
  2. Step 2: Convert to fraction form
    74,322/163,338 = 163,338/x
  3. Step 3: Cross multiply
    74,322x = 163,338 × 163,338
  4. Step 4: Simplify right side
    74,322x = 26,679,302,244
  5. Step 5: Solve for x
    x = 26,679,302,244/74,322
  6. Step 6: Final answer
    x = 358,969.11

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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.