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Finding the Third Proportional to 169,320 and 248,742

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Solution

The third proportional to 169,320 and 248,742 is: 365,418.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,320 : 248,742 = 248,742 : x
  2. Step 2: Convert to fraction form
    169,320/248,742 = 248,742/x
  3. Step 3: Cross multiply
    169,320x = 248,742 × 248,742
  4. Step 4: Simplify right side
    169,320x = 61,872,582,564
  5. Step 5: Solve for x
    x = 61,872,582,564/169,320
  6. Step 6: Final answer
    x = 365,418.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.