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Finding the Third Proportional to 238,151 and 513,694

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Solution

The third proportional to 238,151 and 513,694 is: 1,108,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,151 : 513,694 = 513,694 : x
  2. Step 2: Convert to fraction form
    238,151/513,694 = 513,694/x
  3. Step 3: Cross multiply
    238,151x = 513,694 × 513,694
  4. Step 4: Simplify right side
    238,151x = 263,881,525,636
  5. Step 5: Solve for x
    x = 263,881,525,636/238,151
  6. Step 6: Final answer
    x = 1,108,042.90

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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.