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Finding the Third Proportional to 165,654 and 220,707

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Solution

The third proportional to 165,654 and 220,707 is: 294,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,654 : 220,707 = 220,707 : x
  2. Step 2: Convert to fraction form
    165,654/220,707 = 220,707/x
  3. Step 3: Cross multiply
    165,654x = 220,707 × 220,707
  4. Step 4: Simplify right side
    165,654x = 48,711,579,849
  5. Step 5: Solve for x
    x = 48,711,579,849/165,654
  6. Step 6: Final answer
    x = 294,056.16

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.