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Finding the Third Proportional to 115,710 and 234,636

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Solution

The third proportional to 115,710 and 234,636 is: 475,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,710 : 234,636 = 234,636 : x
  2. Step 2: Convert to fraction form
    115,710/234,636 = 234,636/x
  3. Step 3: Cross multiply
    115,710x = 234,636 × 234,636
  4. Step 4: Simplify right side
    115,710x = 55,054,052,496
  5. Step 5: Solve for x
    x = 55,054,052,496/115,710
  6. Step 6: Final answer
    x = 475,793.38

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.