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Finding the Third Proportional to 163,624 and 218,949

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Solution

The third proportional to 163,624 and 218,949 is: 292,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,624 : 218,949 = 218,949 : x
  2. Step 2: Convert to fraction form
    163,624/218,949 = 218,949/x
  3. Step 3: Cross multiply
    163,624x = 218,949 × 218,949
  4. Step 4: Simplify right side
    163,624x = 47,938,664,601
  5. Step 5: Solve for x
    x = 47,938,664,601/163,624
  6. Step 6: Final answer
    x = 292,980.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.