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Finding the Third Proportional to 183,556 and 258,494

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Solution

The third proportional to 183,556 and 258,494 is: 364,025.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,556 : 258,494 = 258,494 : x
  2. Step 2: Convert to fraction form
    183,556/258,494 = 258,494/x
  3. Step 3: Cross multiply
    183,556x = 258,494 × 258,494
  4. Step 4: Simplify right side
    183,556x = 66,819,148,036
  5. Step 5: Solve for x
    x = 66,819,148,036/183,556
  6. Step 6: Final answer
    x = 364,025.95

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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.