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Finding the Third Proportional to 183,576 and 258,519

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Solution

The third proportional to 183,576 and 258,519 is: 364,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,576 : 258,519 = 258,519 : x
  2. Step 2: Convert to fraction form
    183,576/258,519 = 258,519/x
  3. Step 3: Cross multiply
    183,576x = 258,519 × 258,519
  4. Step 4: Simplify right side
    183,576x = 66,832,073,361
  5. Step 5: Solve for x
    x = 66,832,073,361/183,576
  6. Step 6: Final answer
    x = 364,056.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.