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Finding the Third Proportional to 182,559 and 393,207

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Solution

The third proportional to 182,559 and 393,207 is: 846,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,559 : 393,207 = 393,207 : x
  2. Step 2: Convert to fraction form
    182,559/393,207 = 393,207/x
  3. Step 3: Cross multiply
    182,559x = 393,207 × 393,207
  4. Step 4: Simplify right side
    182,559x = 154,611,744,849
  5. Step 5: Solve for x
    x = 154,611,744,849/182,559
  6. Step 6: Final answer
    x = 846,913.85

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Why These Related Problems?

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