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Finding the Third Proportional to 174,616 and 258,651

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Solution

The third proportional to 174,616 and 258,651 is: 383,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,616 : 258,651 = 258,651 : x
  2. Step 2: Convert to fraction form
    174,616/258,651 = 258,651/x
  3. Step 3: Cross multiply
    174,616x = 258,651 × 258,651
  4. Step 4: Simplify right side
    174,616x = 66,900,339,801
  5. Step 5: Solve for x
    x = 66,900,339,801/174,616
  6. Step 6: Final answer
    x = 383,128.35

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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.