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Finding the Third Proportional to 179,624 and 386,342

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Solution

The third proportional to 179,624 and 386,342 is: 830,958.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,624 : 386,342 = 386,342 : x
  2. Step 2: Convert to fraction form
    179,624/386,342 = 386,342/x
  3. Step 3: Cross multiply
    179,624x = 386,342 × 386,342
  4. Step 4: Simplify right side
    179,624x = 149,260,140,964
  5. Step 5: Solve for x
    x = 149,260,140,964/179,624
  6. Step 6: Final answer
    x = 830,958.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.