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Finding the Third Proportional to 162,680 and 259,752

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Solution

The third proportional to 162,680 and 259,752 is: 414,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,680 : 259,752 = 259,752 : x
  2. Step 2: Convert to fraction form
    162,680/259,752 = 259,752/x
  3. Step 3: Cross multiply
    162,680x = 259,752 × 259,752
  4. Step 4: Simplify right side
    162,680x = 67,471,101,504
  5. Step 5: Solve for x
    x = 67,471,101,504/162,680
  6. Step 6: Final answer
    x = 414,747.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.