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Finding the Third Proportional to 217,415 and 343,632

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Solution

The third proportional to 217,415 and 343,632 is: 543,122.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,415 : 343,632 = 343,632 : x
  2. Step 2: Convert to fraction form
    217,415/343,632 = 343,632/x
  3. Step 3: Cross multiply
    217,415x = 343,632 × 343,632
  4. Step 4: Simplify right side
    217,415x = 118,082,951,424
  5. Step 5: Solve for x
    x = 118,082,951,424/217,415
  6. Step 6: Final answer
    x = 543,122.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.