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Finding the Third Proportional to 233,476 and 346,812

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Solution

The third proportional to 233,476 and 346,812 is: 515,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,476 : 346,812 = 346,812 : x
  2. Step 2: Convert to fraction form
    233,476/346,812 = 346,812/x
  3. Step 3: Cross multiply
    233,476x = 346,812 × 346,812
  4. Step 4: Simplify right side
    233,476x = 120,278,563,344
  5. Step 5: Solve for x
    x = 120,278,563,344/233,476
  6. Step 6: Final answer
    x = 515,164.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.