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Finding the Third Proportional to 169,438 and 352,922

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Solution

The third proportional to 169,438 and 352,922 is: 735,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,438 : 352,922 = 352,922 : x
  2. Step 2: Convert to fraction form
    169,438/352,922 = 352,922/x
  3. Step 3: Cross multiply
    169,438x = 352,922 × 352,922
  4. Step 4: Simplify right side
    169,438x = 124,553,938,084
  5. Step 5: Solve for x
    x = 124,553,938,084/169,438
  6. Step 6: Final answer
    x = 735,100.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.