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Finding the Third Proportional to 212,942 and 331,095

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Solution

The third proportional to 212,942 and 331,095 is: 514,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,942 : 331,095 = 331,095 : x
  2. Step 2: Convert to fraction form
    212,942/331,095 = 331,095/x
  3. Step 3: Cross multiply
    212,942x = 331,095 × 331,095
  4. Step 4: Simplify right side
    212,942x = 109,623,899,025
  5. Step 5: Solve for x
    x = 109,623,899,025/212,942
  6. Step 6: Final answer
    x = 514,806.37

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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.