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Finding the Third Proportional to 212,626 and 342,593

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Solution

The third proportional to 212,626 and 342,593 is: 552,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,626 : 342,593 = 342,593 : x
  2. Step 2: Convert to fraction form
    212,626/342,593 = 342,593/x
  3. Step 3: Cross multiply
    212,626x = 342,593 × 342,593
  4. Step 4: Simplify right side
    212,626x = 117,369,963,649
  5. Step 5: Solve for x
    x = 117,369,963,649/212,626
  6. Step 6: Final answer
    x = 552,001.94

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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.