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Finding the Third Proportional to 258,372 and 377,334

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Solution

The third proportional to 258,372 and 377,334 is: 551,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,372 : 377,334 = 377,334 : x
  2. Step 2: Convert to fraction form
    258,372/377,334 = 377,334/x
  3. Step 3: Cross multiply
    258,372x = 377,334 × 377,334
  4. Step 4: Simplify right side
    258,372x = 142,380,947,556
  5. Step 5: Solve for x
    x = 142,380,947,556/258,372
  6. Step 6: Final answer
    x = 551,069.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.