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Finding the Third Proportional to 217,836 and 350,937

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Solution

The third proportional to 217,836 and 350,937 is: 565,364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,836 : 350,937 = 350,937 : x
  2. Step 2: Convert to fraction form
    217,836/350,937 = 350,937/x
  3. Step 3: Cross multiply
    217,836x = 350,937 × 350,937
  4. Step 4: Simplify right side
    217,836x = 123,156,777,969
  5. Step 5: Solve for x
    x = 123,156,777,969/217,836
  6. Step 6: Final answer
    x = 565,364.67

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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.