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Finding the Third Proportional to 238,161 and 513,713

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Solution

The third proportional to 238,161 and 513,713 is: 1,108,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,161 : 513,713 = 513,713 : x
  2. Step 2: Convert to fraction form
    238,161/513,713 = 513,713/x
  3. Step 3: Cross multiply
    238,161x = 513,713 × 513,713
  4. Step 4: Simplify right side
    238,161x = 263,901,046,369
  5. Step 5: Solve for x
    x = 263,901,046,369/238,161
  6. Step 6: Final answer
    x = 1,108,078.34

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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.