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Finding the Third Proportional to 74,840 and 163,756

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Solution

The third proportional to 74,840 and 163,756 is: 358,311.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,840 : 163,756 = 163,756 : x
  2. Step 2: Convert to fraction form
    74,840/163,756 = 163,756/x
  3. Step 3: Cross multiply
    74,840x = 163,756 × 163,756
  4. Step 4: Simplify right side
    74,840x = 26,816,027,536
  5. Step 5: Solve for x
    x = 26,816,027,536/74,840
  6. Step 6: Final answer
    x = 358,311.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.