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Finding the Third Proportional to 213,842 and 332,670

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Solution

The third proportional to 213,842 and 332,670 is: 517,528.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,842 : 332,670 = 332,670 : x
  2. Step 2: Convert to fraction form
    213,842/332,670 = 332,670/x
  3. Step 3: Cross multiply
    213,842x = 332,670 × 332,670
  4. Step 4: Simplify right side
    213,842x = 110,669,328,900
  5. Step 5: Solve for x
    x = 110,669,328,900/213,842
  6. Step 6: Final answer
    x = 517,528.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.