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Finding the Third Proportional to 163,377 and 351,786

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Solution

The third proportional to 163,377 and 351,786 is: 757,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,377 : 351,786 = 351,786 : x
  2. Step 2: Convert to fraction form
    163,377/351,786 = 351,786/x
  3. Step 3: Cross multiply
    163,377x = 351,786 × 351,786
  4. Step 4: Simplify right side
    163,377x = 123,753,389,796
  5. Step 5: Solve for x
    x = 123,753,389,796/163,377
  6. Step 6: Final answer
    x = 757,471.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.