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Finding the Third Proportional to 232,236 and 347,454

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Solution

The third proportional to 232,236 and 347,454 is: 519,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,236 : 347,454 = 347,454 : x
  2. Step 2: Convert to fraction form
    232,236/347,454 = 347,454/x
  3. Step 3: Cross multiply
    232,236x = 347,454 × 347,454
  4. Step 4: Simplify right side
    232,236x = 120,724,282,116
  5. Step 5: Solve for x
    x = 120,724,282,116/232,236
  6. Step 6: Final answer
    x = 519,834.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.