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Finding the Third Proportional to 217,732 and 342,150

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Solution

The third proportional to 217,732 and 342,150 is: 537,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,732 : 342,150 = 342,150 : x
  2. Step 2: Convert to fraction form
    217,732/342,150 = 342,150/x
  3. Step 3: Cross multiply
    217,732x = 342,150 × 342,150
  4. Step 4: Simplify right side
    217,732x = 117,066,622,500
  5. Step 5: Solve for x
    x = 117,066,622,500/217,732
  6. Step 6: Final answer
    x = 537,663.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.