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Finding the Third Proportional to 182,695 and 398,590

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Solution

The third proportional to 182,695 and 398,590 is: 869,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,695 : 398,590 = 398,590 : x
  2. Step 2: Convert to fraction form
    182,695/398,590 = 398,590/x
  3. Step 3: Cross multiply
    182,695x = 398,590 × 398,590
  4. Step 4: Simplify right side
    182,695x = 158,873,988,100
  5. Step 5: Solve for x
    x = 158,873,988,100/182,695
  6. Step 6: Final answer
    x = 869,613.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.