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Finding the Third Proportional to 115,017 and 234,729

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Solution

The third proportional to 115,017 and 234,729 is: 479,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,017 : 234,729 = 234,729 : x
  2. Step 2: Convert to fraction form
    115,017/234,729 = 234,729/x
  3. Step 3: Cross multiply
    115,017x = 234,729 × 234,729
  4. Step 4: Simplify right side
    115,017x = 55,097,703,441
  5. Step 5: Solve for x
    x = 55,097,703,441/115,017
  6. Step 6: Final answer
    x = 479,039.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.