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Finding the Third Proportional to 117,592 and 258,594

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Solution

The third proportional to 117,592 and 258,594 is: 568,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,592 : 258,594 = 258,594 : x
  2. Step 2: Convert to fraction form
    117,592/258,594 = 258,594/x
  3. Step 3: Cross multiply
    117,592x = 258,594 × 258,594
  4. Step 4: Simplify right side
    117,592x = 66,870,856,836
  5. Step 5: Solve for x
    x = 66,870,856,836/117,592
  6. Step 6: Final answer
    x = 568,668.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.