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Finding the Third Proportional to 174,962 and 258,752

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Solution

The third proportional to 174,962 and 258,752 is: 382,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,962 : 258,752 = 258,752 : x
  2. Step 2: Convert to fraction form
    174,962/258,752 = 258,752/x
  3. Step 3: Cross multiply
    174,962x = 258,752 × 258,752
  4. Step 4: Simplify right side
    174,962x = 66,952,597,504
  5. Step 5: Solve for x
    x = 66,952,597,504/174,962
  6. Step 6: Final answer
    x = 382,669.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.