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Finding the Third Proportional to 113,828 and 245,894

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Solution

The third proportional to 113,828 and 245,894 is: 531,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,828 : 245,894 = 245,894 : x
  2. Step 2: Convert to fraction form
    113,828/245,894 = 245,894/x
  3. Step 3: Cross multiply
    113,828x = 245,894 × 245,894
  4. Step 4: Simplify right side
    113,828x = 60,463,859,236
  5. Step 5: Solve for x
    x = 60,463,859,236/113,828
  6. Step 6: Final answer
    x = 531,186.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.