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Finding the Third Proportional to 194,670 and 431,613

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Solution

The third proportional to 194,670 and 431,613 is: 956,951.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,670 : 431,613 = 431,613 : x
  2. Step 2: Convert to fraction form
    194,670/431,613 = 431,613/x
  3. Step 3: Cross multiply
    194,670x = 431,613 × 431,613
  4. Step 4: Simplify right side
    194,670x = 186,289,781,769
  5. Step 5: Solve for x
    x = 186,289,781,769/194,670
  6. Step 6: Final answer
    x = 956,951.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.