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Finding the Third Proportional to 164,286 and 234,765

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Solution

The third proportional to 164,286 and 234,765 is: 335,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,286 : 234,765 = 234,765 : x
  2. Step 2: Convert to fraction form
    164,286/234,765 = 234,765/x
  3. Step 3: Cross multiply
    164,286x = 234,765 × 234,765
  4. Step 4: Simplify right side
    164,286x = 55,114,605,225
  5. Step 5: Solve for x
    x = 55,114,605,225/164,286
  6. Step 6: Final answer
    x = 335,479.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.