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Finding the Third Proportional to 232,312 and 347,544

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Solution

The third proportional to 232,312 and 347,544 is: 519,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,312 : 347,544 = 347,544 : x
  2. Step 2: Convert to fraction form
    232,312/347,544 = 347,544/x
  3. Step 3: Cross multiply
    232,312x = 347,544 × 347,544
  4. Step 4: Simplify right side
    232,312x = 120,786,831,936
  5. Step 5: Solve for x
    x = 120,786,831,936/232,312
  6. Step 6: Final answer
    x = 519,933.68

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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.