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Finding the Third Proportional to 162,670 and 259,738

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Solution

The third proportional to 162,670 and 259,738 is: 414,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,670 : 259,738 = 259,738 : x
  2. Step 2: Convert to fraction form
    162,670/259,738 = 259,738/x
  3. Step 3: Cross multiply
    162,670x = 259,738 × 259,738
  4. Step 4: Simplify right side
    162,670x = 67,463,828,644
  5. Step 5: Solve for x
    x = 67,463,828,644/162,670
  6. Step 6: Final answer
    x = 414,728.15

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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.