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Finding the Third Proportional to 183,558 and 258,495

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Solution

The third proportional to 183,558 and 258,495 is: 364,024.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,558 : 258,495 = 258,495 : x
  2. Step 2: Convert to fraction form
    183,558/258,495 = 258,495/x
  3. Step 3: Cross multiply
    183,558x = 258,495 × 258,495
  4. Step 4: Simplify right side
    183,558x = 66,819,665,025
  5. Step 5: Solve for x
    x = 66,819,665,025/183,558
  6. Step 6: Final answer
    x = 364,024.80

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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.