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Finding the Third Proportional to 193,630 and 311,941

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Solution

The third proportional to 193,630 and 311,941 is: 502,541.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,630 : 311,941 = 311,941 : x
  2. Step 2: Convert to fraction form
    193,630/311,941 = 311,941/x
  3. Step 3: Cross multiply
    193,630x = 311,941 × 311,941
  4. Step 4: Simplify right side
    193,630x = 97,307,187,481
  5. Step 5: Solve for x
    x = 97,307,187,481/193,630
  6. Step 6: Final answer
    x = 502,541.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.