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Finding the Third Proportional to 169,116 and 236,442

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Solution

The third proportional to 169,116 and 236,442 is: 330,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,116 : 236,442 = 236,442 : x
  2. Step 2: Convert to fraction form
    169,116/236,442 = 236,442/x
  3. Step 3: Cross multiply
    169,116x = 236,442 × 236,442
  4. Step 4: Simplify right side
    169,116x = 55,904,819,364
  5. Step 5: Solve for x
    x = 55,904,819,364/169,116
  6. Step 6: Final answer
    x = 330,570.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.