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Finding the Third Proportional to 174,614 and 258,648

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Solution

The third proportional to 174,614 and 258,648 is: 383,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,614 : 258,648 = 258,648 : x
  2. Step 2: Convert to fraction form
    174,614/258,648 = 258,648/x
  3. Step 3: Cross multiply
    174,614x = 258,648 × 258,648
  4. Step 4: Simplify right side
    174,614x = 66,898,787,904
  5. Step 5: Solve for x
    x = 66,898,787,904/174,614
  6. Step 6: Final answer
    x = 383,123.85

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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.