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Finding the Third Proportional to 232,236 and 347,490

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Solution

The third proportional to 232,236 and 347,490 is: 519,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,236 : 347,490 = 347,490 : x
  2. Step 2: Convert to fraction form
    232,236/347,490 = 347,490/x
  3. Step 3: Cross multiply
    232,236x = 347,490 × 347,490
  4. Step 4: Simplify right side
    232,236x = 120,749,300,100
  5. Step 5: Solve for x
    x = 120,749,300,100/232,236
  6. Step 6: Final answer
    x = 519,942.21

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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.