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Finding the Third Proportional to 169,074 and 236,358

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Solution

The third proportional to 169,074 and 236,358 is: 330,418.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,074 : 236,358 = 236,358 : x
  2. Step 2: Convert to fraction form
    169,074/236,358 = 236,358/x
  3. Step 3: Cross multiply
    169,074x = 236,358 × 236,358
  4. Step 4: Simplify right side
    169,074x = 55,865,104,164
  5. Step 5: Solve for x
    x = 55,865,104,164/169,074
  6. Step 6: Final answer
    x = 330,418.07

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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.