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Finding the Third Proportional to 74,344 and 163,448

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Solution

The third proportional to 74,344 and 163,448 is: 359,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,344 : 163,448 = 163,448 : x
  2. Step 2: Convert to fraction form
    74,344/163,448 = 163,448/x
  3. Step 3: Cross multiply
    74,344x = 163,448 × 163,448
  4. Step 4: Simplify right side
    74,344x = 26,715,248,704
  5. Step 5: Solve for x
    x = 26,715,248,704/74,344
  6. Step 6: Final answer
    x = 359,346.40

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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.