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Finding the Third Proportional to 169,137 and 371,754

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Solution

The third proportional to 169,137 and 371,754 is: 817,095.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,137 : 371,754 = 371,754 : x
  2. Step 2: Convert to fraction form
    169,137/371,754 = 371,754/x
  3. Step 3: Cross multiply
    169,137x = 371,754 × 371,754
  4. Step 4: Simplify right side
    169,137x = 138,201,036,516
  5. Step 5: Solve for x
    x = 138,201,036,516/169,137
  6. Step 6: Final answer
    x = 817,095.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.