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Finding the Third Proportional to 214,626 and 332,178

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Solution

The third proportional to 214,626 and 332,178 is: 514,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,626 : 332,178 = 332,178 : x
  2. Step 2: Convert to fraction form
    214,626/332,178 = 332,178/x
  3. Step 3: Cross multiply
    214,626x = 332,178 × 332,178
  4. Step 4: Simplify right side
    214,626x = 110,342,223,684
  5. Step 5: Solve for x
    x = 110,342,223,684/214,626
  6. Step 6: Final answer
    x = 514,113.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.