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Finding the Third Proportional to 162,786 and 351,891

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Solution

The third proportional to 162,786 and 351,891 is: 760,675.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,786 : 351,891 = 351,891 : x
  2. Step 2: Convert to fraction form
    162,786/351,891 = 351,891/x
  3. Step 3: Cross multiply
    162,786x = 351,891 × 351,891
  4. Step 4: Simplify right side
    162,786x = 123,827,275,881
  5. Step 5: Solve for x
    x = 123,827,275,881/162,786
  6. Step 6: Final answer
    x = 760,675.22

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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.